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What is the Least Common Multiple of 94420 and 94428?

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 94420 and 94428 is 2228972940.

LCM(94420,94428) = 2228972940

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Least Common Multiple of 94420 and 94428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94420 and 94428, than apply into the LCM equation.

GCF(94420,94428) = 4
LCM(94420,94428) = ( 94420 × 94428) / 4
LCM(94420,94428) = 8915891760 / 4
LCM(94420,94428) = 2228972940

Least Common Multiple (LCM) of 94420 and 94428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94420 and 94428. First we will calculate the prime factors of 94420 and 94428.

Prime Factorization of 94420

Prime factors of 94420 are 2, 5, 4721. Prime factorization of 94420 in exponential form is:

94420 = 22 × 51 × 47211

Prime Factorization of 94428

Prime factors of 94428 are 2, 3, 43, 61. Prime factorization of 94428 in exponential form is:

94428 = 22 × 32 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 94420 and 94428.

LCM(94420,94428) = 22 × 51 × 47211 × 32 × 431 × 611
LCM(94420,94428) = 2228972940