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What is the Least Common Multiple of 94364 and 94380?

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 94364 and 94380 is 2226518580.

LCM(94364,94380) = 2226518580

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Least Common Multiple of 94364 and 94380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94364 and 94380, than apply into the LCM equation.

GCF(94364,94380) = 4
LCM(94364,94380) = ( 94364 × 94380) / 4
LCM(94364,94380) = 8906074320 / 4
LCM(94364,94380) = 2226518580

Least Common Multiple (LCM) of 94364 and 94380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94364 and 94380. First we will calculate the prime factors of 94364 and 94380.

Prime Factorization of 94364

Prime factors of 94364 are 2, 31, 761. Prime factorization of 94364 in exponential form is:

94364 = 22 × 311 × 7611

Prime Factorization of 94380

Prime factors of 94380 are 2, 3, 5, 11, 13. Prime factorization of 94380 in exponential form is:

94380 = 22 × 31 × 51 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 94364 and 94380.

LCM(94364,94380) = 22 × 311 × 7611 × 31 × 51 × 112 × 131
LCM(94364,94380) = 2226518580