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What is the Least Common Multiple of 92952 and 92961?

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 92952 and 92961 is 960101208.

LCM(92952,92961) = 960101208

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Least Common Multiple of 92952 and 92961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92952 and 92961, than apply into the LCM equation.

GCF(92952,92961) = 9
LCM(92952,92961) = ( 92952 × 92961) / 9
LCM(92952,92961) = 8640910872 / 9
LCM(92952,92961) = 960101208

Least Common Multiple (LCM) of 92952 and 92961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92952 and 92961. First we will calculate the prime factors of 92952 and 92961.

Prime Factorization of 92952

Prime factors of 92952 are 2, 3, 1291. Prime factorization of 92952 in exponential form is:

92952 = 23 × 32 × 12911

Prime Factorization of 92961

Prime factors of 92961 are 3, 11, 313. Prime factorization of 92961 in exponential form is:

92961 = 33 × 111 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 92952 and 92961.

LCM(92952,92961) = 23 × 33 × 12911 × 111 × 3131
LCM(92952,92961) = 960101208