LCM for 7 and 33
What's the Least Common Multiple (LCM) of 7 and 33?
(Two hundred thirty-one)
Finding LCM for 7 and 33 using GCF's of these numbers
The first method to find LCM for numbers 7 and 33 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 33 is 1, so
LCM = (7 × 33) ÷ 1
LCM = 231 ÷ 1
LCM = 231
Finding LCM for 7 and 33 by Listing Multiples
The second method to find LCM for numbers 7 and 33 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245
Multiples of 33: 33, 66, 99, 132, 165, 198, 231, 264, 297
So the LCM for 7 and 33 is 231
Finding LCM for 7 and 33 by Prime Factorization
Another method to find LCM for numbers 7 and 33 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 33: 3, 11 (exponent form: 31, 111)
71 × 31 × 111 = 231
Related Calculations
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