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What is the Least Common Multiple of 63937 and 63941?

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 63937 and 63941 is 4088195717.

LCM(63937,63941) = 4088195717

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Least Common Multiple of 63937 and 63941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63937 and 63941, than apply into the LCM equation.

GCF(63937,63941) = 1
LCM(63937,63941) = ( 63937 × 63941) / 1
LCM(63937,63941) = 4088195717 / 1
LCM(63937,63941) = 4088195717

Least Common Multiple (LCM) of 63937 and 63941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63937 and 63941. First we will calculate the prime factors of 63937 and 63941.

Prime Factorization of 63937

Prime factors of 63937 are 17, 3761. Prime factorization of 63937 in exponential form is:

63937 = 171 × 37611

Prime Factorization of 63941

Prime factors of 63941 are 43, 1487. Prime factorization of 63941 in exponential form is:

63941 = 431 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 63937 and 63941.

LCM(63937,63941) = 171 × 37611 × 431 × 14871
LCM(63937,63941) = 4088195717