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What is the Least Common Multiple of 94440 and 94444?

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 94440 and 94444 is 2229822840.

LCM(94440,94444) = 2229822840

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Least Common Multiple of 94440 and 94444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94440 and 94444, than apply into the LCM equation.

GCF(94440,94444) = 4
LCM(94440,94444) = ( 94440 × 94444) / 4
LCM(94440,94444) = 8919291360 / 4
LCM(94440,94444) = 2229822840

Least Common Multiple (LCM) of 94440 and 94444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94440 and 94444. First we will calculate the prime factors of 94440 and 94444.

Prime Factorization of 94440

Prime factors of 94440 are 2, 3, 5, 787. Prime factorization of 94440 in exponential form is:

94440 = 23 × 31 × 51 × 7871

Prime Factorization of 94444

Prime factors of 94444 are 2, 7, 3373. Prime factorization of 94444 in exponential form is:

94444 = 22 × 71 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 94440 and 94444.

LCM(94440,94444) = 23 × 31 × 51 × 7871 × 71 × 33731
LCM(94440,94444) = 2229822840