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What is the Least Common Multiple of 2937 and 2941?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2937 and 2941 is 8637717.

LCM(2937,2941) = 8637717

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Least Common Multiple of 2937 and 2941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2937 and 2941, than apply into the LCM equation.

GCF(2937,2941) = 1
LCM(2937,2941) = ( 2937 × 2941) / 1
LCM(2937,2941) = 8637717 / 1
LCM(2937,2941) = 8637717

Least Common Multiple (LCM) of 2937 and 2941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2937 and 2941. First we will calculate the prime factors of 2937 and 2941.

Prime Factorization of 2937

Prime factors of 2937 are 3, 11, 89. Prime factorization of 2937 in exponential form is:

2937 = 31 × 111 × 891

Prime Factorization of 2941

Prime factors of 2941 are 17, 173. Prime factorization of 2941 in exponential form is:

2941 = 171 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2937 and 2941.

LCM(2937,2941) = 31 × 111 × 891 × 171 × 1731
LCM(2937,2941) = 8637717