GCF and LCM Calculator Logo

What is the Least Common Multiple of 94522 and 94528?

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 94522 and 94528 is 4467487808.

LCM(94522,94528) = 4467487808

LCM Calculator and
and

Least Common Multiple of 94522 and 94528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94522 and 94528, than apply into the LCM equation.

GCF(94522,94528) = 2
LCM(94522,94528) = ( 94522 × 94528) / 2
LCM(94522,94528) = 8934975616 / 2
LCM(94522,94528) = 4467487808

Least Common Multiple (LCM) of 94522 and 94528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94522 and 94528. First we will calculate the prime factors of 94522 and 94528.

Prime Factorization of 94522

Prime factors of 94522 are 2, 167, 283. Prime factorization of 94522 in exponential form is:

94522 = 21 × 1671 × 2831

Prime Factorization of 94528

Prime factors of 94528 are 2, 7, 211. Prime factorization of 94528 in exponential form is:

94528 = 26 × 71 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 94522 and 94528.

LCM(94522,94528) = 26 × 1671 × 2831 × 71 × 2111
LCM(94522,94528) = 4467487808