LCM for 25 and 64
What's the Least Common Multiple (LCM) of 25 and 64?
(One thousand, six hundred)
Finding LCM for 25 and 64 using GCF's of these numbers
The first method to find LCM for numbers 25 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 25 and 64 is 1, so
LCM = (25 × 64) ÷ 1
LCM = 1600 ÷ 1
LCM = 1600
Finding LCM for 25 and 64 by Listing Multiples
The second method to find LCM for numbers 25 and 64 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, 525, 550, 575, 600, 625, 650, 675, 700, 725, 750, 775, 800, 825, 850, 875, 900, 925, 950, 975, 1000, 1025, 1050, 1075, 1100, 1125, 1150, 1175, 1200, 1225, 1250, 1275, 1300, 1325, 1350, 1375, 1400, 1425, 1450, 1475, 1500, 1525, 1550, 1575, 1600, 1625, 1650
Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216, 1280, 1344, 1408, 1472, 1536, 1600, 1664, 1728
So the LCM for 25 and 64 is 1600
Finding LCM for 25 and 64 by Prime Factorization
Another method to find LCM for numbers 25 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 25: 5, 5 (exponent form: 52)
All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)
52 × 26 = 1600
Related Calculations
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