LCM for 38 and 53
What's the Least Common Multiple (LCM) of 38 and 53?
Answer
(Two thousand, fourteen)
Finding LCM for 38 and 53 using GCF of these numbers
The first method to find LCM for numbers 38 and 53 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 38 and 53 is 1, so
LCM = (38 × 53) ÷ 1
LCM = 2014 ÷ 1
LCM = 2014
Finding LCM for 38 and 53 by Listing Multiples
The second method to find LCM for numbers 38 and 53 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 38: 38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608, 646, 684, 722, 760, 798, 836, 874, 912, 950, 988, 1026, 1064, 1102, 1140, 1178, 1216, 1254, 1292, 1330, 1368, 1406, 1444, 1482, 1520, 1558, 1596, 1634, 1672, 1710, 1748, 1786, 1824, 1862, 1900, 1938, 1976, 2014, 2052, 2090
Multiples of 53: 53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749, 1802, 1855, 1908, 1961, 2014, 2067, 2120
So the LCM for 38 and 53 is 2014
Finding LCM for 38 and 53 by Prime Factorization
Another method to find LCM for numbers 38 and 53 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 38: 2, 19 (exponent form: 21, 191)
All Prime Factors of 53: 53 (exponent form: 531)
21 × 191 × 531 = 2014
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/38--53">What is the LCM of 38 and 53? - Calculatio</a>
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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