LCM for 23 and 67
What's the Least Common Multiple (LCM) of 23 and 67?
(One thousand, five hundred forty-one)
Finding LCM for 23 and 67 using GCF's of these numbers
The first method to find LCM for numbers 23 and 67 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 23 and 67 is 1, so
LCM = (23 × 67) ÷ 1
LCM = 1541 ÷ 1
LCM = 1541
Finding LCM for 23 and 67 by Listing Multiples
The second method to find LCM for numbers 23 and 67 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 552, 575, 598, 621, 644, 667, 690, 713, 736, 759, 782, 805, 828, 851, 874, 897, 920, 943, 966, 989, 1012, 1035, 1058, 1081, 1104, 1127, 1150, 1173, 1196, 1219, 1242, 1265, 1288, 1311, 1334, 1357, 1380, 1403, 1426, 1449, 1472, 1495, 1518, 1541, 1564, 1587
Multiples of 67: 67, 134, 201, 268, 335, 402, 469, 536, 603, 670, 737, 804, 871, 938, 1005, 1072, 1139, 1206, 1273, 1340, 1407, 1474, 1541, 1608, 1675
So the LCM for 23 and 67 is 1541
Finding LCM for 23 and 67 by Prime Factorization
Another method to find LCM for numbers 23 and 67 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 23: 23 (exponent form: 231)
All Prime Factors of 67: 67 (exponent form: 671)
231 × 671 = 1541
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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