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What is the Least Common Multiple of 92392 and 92396?

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 92392 and 92396 is 2134162808.

LCM(92392,92396) = 2134162808

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Least Common Multiple of 92392 and 92396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92392 and 92396, than apply into the LCM equation.

GCF(92392,92396) = 4
LCM(92392,92396) = ( 92392 × 92396) / 4
LCM(92392,92396) = 8536651232 / 4
LCM(92392,92396) = 2134162808

Least Common Multiple (LCM) of 92392 and 92396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92392 and 92396. First we will calculate the prime factors of 92392 and 92396.

Prime Factorization of 92392

Prime factors of 92392 are 2, 11549. Prime factorization of 92392 in exponential form is:

92392 = 23 × 115491

Prime Factorization of 92396

Prime factors of 92396 are 2, 23099. Prime factorization of 92396 in exponential form is:

92396 = 22 × 230991

Now multiplying the highest exponent prime factors to calculate the LCM of 92392 and 92396.

LCM(92392,92396) = 23 × 115491 × 230991
LCM(92392,92396) = 2134162808