LCM for 34 and 64
What's the Least Common Multiple (LCM) of 34 and 64?
(One thousand, eighty-eight)
Finding LCM for 34 and 64 using GCF's of these numbers
The first method to find LCM for numbers 34 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 34 and 64 is 2, so
LCM = (34 × 64) ÷ 2
LCM = 2176 ÷ 2
LCM = 1088
Finding LCM for 34 and 64 by Listing Multiples
The second method to find LCM for numbers 34 and 64 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884, 918, 952, 986, 1020, 1054, 1088, 1122, 1156
Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216
So the LCM for 34 and 64 is 1088
Finding LCM for 34 and 64 by Prime Factorization
Another method to find LCM for numbers 34 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 34: 2, 17 (exponent form: 21, 171)
All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)
26 × 171 = 1088
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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