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What is the Least Common Multiple of 94428 and 94436?

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 94428 and 94436 is 2229350652.

LCM(94428,94436) = 2229350652

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Least Common Multiple of 94428 and 94436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94428 and 94436, than apply into the LCM equation.

GCF(94428,94436) = 4
LCM(94428,94436) = ( 94428 × 94436) / 4
LCM(94428,94436) = 8917402608 / 4
LCM(94428,94436) = 2229350652

Least Common Multiple (LCM) of 94428 and 94436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94428 and 94436. First we will calculate the prime factors of 94428 and 94436.

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

Prime Factorization of 94436

Prime factors of 94436 are 2, 23609. Prime factorization of 94436 in exponential form is:

94436 = 22 × 236091

Now multiplying the highest exponent prime factors to calculate the LCM of 94428 and 94436.

LCM(94428,94436) = 22 × 32 × 431 × 611 × 236091
LCM(94428,94436) = 2229350652