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What is the Least Common Multiple of 95364 and 95380?

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 95364 and 95380 is 2273954580.

LCM(95364,95380) = 2273954580

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Least Common Multiple of 95364 and 95380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95364 and 95380, than apply into the LCM equation.

GCF(95364,95380) = 4
LCM(95364,95380) = ( 95364 × 95380) / 4
LCM(95364,95380) = 9095818320 / 4
LCM(95364,95380) = 2273954580

Least Common Multiple (LCM) of 95364 and 95380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95364 and 95380. First we will calculate the prime factors of 95364 and 95380.

Prime Factorization of 95364

Prime factors of 95364 are 2, 3, 883. Prime factorization of 95364 in exponential form is:

95364 = 22 × 33 × 8831

Prime Factorization of 95380

Prime factors of 95380 are 2, 5, 19, 251. Prime factorization of 95380 in exponential form is:

95380 = 22 × 51 × 191 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 95364 and 95380.

LCM(95364,95380) = 22 × 33 × 8831 × 51 × 191 × 2511
LCM(95364,95380) = 2273954580