LCM for 15 and 19
What's the Least Common Multiple (LCM) of 15 and 19?
(Two hundred eighty-five)
Finding LCM for 15 and 19 using GCF's of these numbers
The first method to find LCM for numbers 15 and 19 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 15 and 19 is 1, so
LCM = (15 × 19) ÷ 1
LCM = 285 ÷ 1
LCM = 285
Finding LCM for 15 and 19 by Listing Multiples
The second method to find LCM for numbers 15 and 19 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
Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323
So the LCM for 15 and 19 is 285
Finding LCM for 15 and 19 by Prime Factorization
Another method to find LCM for numbers 15 and 19 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 19: 19 (exponent form: 191)
31 × 51 × 191 = 285
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/15--19">What is the LCM of 15 and 19? - Calculatio</a>
LCM Table
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