GCF and LCM Calculator Logo

What is the Least Common Multiple of 94224 and 94235?

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 94224 and 94235 is 8879198640.

LCM(94224,94235) = 8879198640

LCM Calculator and
and

Least Common Multiple of 94224 and 94235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94224 and 94235, than apply into the LCM equation.

GCF(94224,94235) = 1
LCM(94224,94235) = ( 94224 × 94235) / 1
LCM(94224,94235) = 8879198640 / 1
LCM(94224,94235) = 8879198640

Least Common Multiple (LCM) of 94224 and 94235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94224 and 94235. First we will calculate the prime factors of 94224 and 94235.

Prime Factorization of 94224

Prime factors of 94224 are 2, 3, 13, 151. Prime factorization of 94224 in exponential form is:

94224 = 24 × 31 × 131 × 1511

Prime Factorization of 94235

Prime factors of 94235 are 5, 47, 401. Prime factorization of 94235 in exponential form is:

94235 = 51 × 471 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 94224 and 94235.

LCM(94224,94235) = 24 × 31 × 131 × 1511 × 51 × 471 × 4011
LCM(94224,94235) = 8879198640