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What is the Least Common Multiple of 3935 and 3941?

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 3935 and 3941 is 15507835.

LCM(3935,3941) = 15507835

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Least Common Multiple of 3935 and 3941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3935 and 3941, than apply into the LCM equation.

GCF(3935,3941) = 1
LCM(3935,3941) = ( 3935 × 3941) / 1
LCM(3935,3941) = 15507835 / 1
LCM(3935,3941) = 15507835

Least Common Multiple (LCM) of 3935 and 3941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3935 and 3941. First we will calculate the prime factors of 3935 and 3941.

Prime Factorization of 3935

Prime factors of 3935 are 5, 787. Prime factorization of 3935 in exponential form is:

3935 = 51 × 7871

Prime Factorization of 3941

Prime factors of 3941 are 7, 563. Prime factorization of 3941 in exponential form is:

3941 = 71 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 3935 and 3941.

LCM(3935,3941) = 51 × 7871 × 71 × 5631
LCM(3935,3941) = 15507835