LCM for 15 and 64
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 15 and 64?
(Nine hundred sixty)
Finding LCM for 15 and 64 using GCF's of these numbers
The first method to find LCM for numbers 15 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 15 and 64 is 1, so
LCM = (15 × 64) ÷ 1
LCM = 960 ÷ 1
LCM = 960
Finding LCM for 15 and 64 by Listing Multiples
The second method to find LCM for numbers 15 and 64 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990
Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088
So the LCM for 15 and 64 is 960
Finding LCM for 15 and 64 by Prime Factorization
Another method to find LCM for numbers 15 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)
31 × 51 × 26 = 960
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 15 and 64?
See Also
- What is the LCM of 15 and 29?
- What is the LCM of 15 and 30?
- What is the LCM of 15 and 33?
- What is the LCM of 15 and 35?
- What is the LCM of 15 and 36?
- What is the LCM of 15 and 39?
- What is the LCM of 15 and 40?
- What is the LCM of 15 and 45?
- What is the LCM of 15 and 50?
- What is the LCM of 15 and 60?
- What is the LCM of 15 and 75?
- What is the LCM of 15 and 85?
- What is the LCM of 15 and 90?
- What is the LCM of 15 and 95?
- What is the LCM of 15 and 100?
- What is the LCM of 15 and 105?
- What is the LCM of 15 and 110?
- What is the LCM of 16 and 12?
- What is the LCM of 16 and 17?
- What is the LCM of 16 and 18?
- Наименьшее общее кратное 15 и 64