LCM for 33 and 38
What's the Least Common Multiple (LCM) of 33 and 38?
Answer
(One thousand, two hundred fifty-four)
Finding LCM for 33 and 38 using GCF of these numbers
The first method to find LCM for numbers 33 and 38 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 33 and 38 is 1, so
LCM = (33 × 38) ÷ 1
LCM = 1254 ÷ 1
LCM = 1254
Finding LCM for 33 and 38 by Listing Multiples
The second method to find LCM for numbers 33 and 38 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 33: 33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363, 396, 429, 462, 495, 528, 561, 594, 627, 660, 693, 726, 759, 792, 825, 858, 891, 924, 957, 990, 1023, 1056, 1089, 1122, 1155, 1188, 1221, 1254, 1287, 1320
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
So the LCM for 33 and 38 is 1254
Finding LCM for 33 and 38 by Prime Factorization
Another method to find LCM for numbers 33 and 38 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 33: 3, 11 (exponent form: 31, 111)
All Prime Factors of 38: 2, 19 (exponent form: 21, 191)
31 × 111 × 21 × 191 = 1254
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/33--38">What is the LCM of 33 and 38? - Calculatio</a>
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