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What is the Least Common Multiple of 94436 and 94452?

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 94436 and 94452 is 2229917268.

LCM(94436,94452) = 2229917268

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Least Common Multiple of 94436 and 94452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94436 and 94452, than apply into the LCM equation.

GCF(94436,94452) = 4
LCM(94436,94452) = ( 94436 × 94452) / 4
LCM(94436,94452) = 8919669072 / 4
LCM(94436,94452) = 2229917268

Least Common Multiple (LCM) of 94436 and 94452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94436 and 94452. First we will calculate the prime factors of 94436 and 94452.

Prime Factorization of 94436

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

94436 = 22 × 236091

Prime Factorization of 94452

Prime factors of 94452 are 2, 3, 17, 463. Prime factorization of 94452 in exponential form is:

94452 = 22 × 31 × 171 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 94436 and 94452.

LCM(94436,94452) = 22 × 236091 × 31 × 171 × 4631
LCM(94436,94452) = 2229917268