LCM for 36 and 74
What's the Least Common Multiple (LCM) of 36 and 74?
(One thousand, three hundred thirty-two)
Finding LCM for 36 and 74 using GCF's of these numbers
The first method to find LCM for numbers 36 and 74 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 36 and 74 is 2, so
LCM = (36 × 74) ÷ 2
LCM = 2664 ÷ 2
LCM = 1332
Finding LCM for 36 and 74 by Listing Multiples
The second method to find LCM for numbers 36 and 74 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404
Multiples of 74: 74, 148, 222, 296, 370, 444, 518, 592, 666, 740, 814, 888, 962, 1036, 1110, 1184, 1258, 1332, 1406, 1480
So the LCM for 36 and 74 is 1332
Finding LCM for 36 and 74 by Prime Factorization
Another method to find LCM for numbers 36 and 74 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)
All Prime Factors of 74: 2, 37 (exponent form: 21, 371)
22 × 32 × 371 = 1332
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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