What is the Least Common Multiple of 94128 and 94135?

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 of 94128 and 94135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94128 and 94135, than apply into the LCM equation.

GCF(94128,94135) = 1
LCM(94128,94135) = ( 94128 × 94135) / 1
LCM(94128,94135) = 8860739280 / 1
LCM(94128,94135) = 8860739280

Least Common Multiple (LCM) of 94128 and 94135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94128 and 94135. First we will calculate the prime factors of 94128 and 94135.

Prime Factorization of 94128

Prime Factorization of 94135

Now multiplying the highest exponent prime factors to calculate the LCM of 94128 and 94135.

LCM(94128,94135) = 2⁴ × 3¹ × 37¹ × 53¹ × 5¹ × 67¹ × 281¹
LCM(94128,94135) = 8860739280