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What is the Least Common Multiple of 92371 and 92380?

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 92371 and 92380 is 8533232980.

LCM(92371,92380) = 8533232980

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Least Common Multiple of 92371 and 92380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92371 and 92380, than apply into the LCM equation.

GCF(92371,92380) = 1
LCM(92371,92380) = ( 92371 × 92380) / 1
LCM(92371,92380) = 8533232980 / 1
LCM(92371,92380) = 8533232980

Least Common Multiple (LCM) of 92371 and 92380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92371 and 92380. First we will calculate the prime factors of 92371 and 92380.

Prime Factorization of 92371

Prime factors of 92371 are 71, 1301. Prime factorization of 92371 in exponential form is:

92371 = 711 × 13011

Prime Factorization of 92380

Prime factors of 92380 are 2, 5, 31, 149. Prime factorization of 92380 in exponential form is:

92380 = 22 × 51 × 311 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 92371 and 92380.

LCM(92371,92380) = 711 × 13011 × 22 × 51 × 311 × 1491
LCM(92371,92380) = 8533232980