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What is the Least Common Multiple of 93952 and 93962?

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 93952 and 93962 is 4413958912.

LCM(93952,93962) = 4413958912

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Least Common Multiple of 93952 and 93962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93952 and 93962, than apply into the LCM equation.

GCF(93952,93962) = 2
LCM(93952,93962) = ( 93952 × 93962) / 2
LCM(93952,93962) = 8827917824 / 2
LCM(93952,93962) = 4413958912

Least Common Multiple (LCM) of 93952 and 93962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93952 and 93962. First we will calculate the prime factors of 93952 and 93962.

Prime Factorization of 93952

Prime factors of 93952 are 2, 367. Prime factorization of 93952 in exponential form is:

93952 = 28 × 3671

Prime Factorization of 93962

Prime factors of 93962 are 2, 11, 4271. Prime factorization of 93962 in exponential form is:

93962 = 21 × 111 × 42711

Now multiplying the highest exponent prime factors to calculate the LCM of 93952 and 93962.

LCM(93952,93962) = 28 × 3671 × 111 × 42711
LCM(93952,93962) = 4413958912