GCF and LCM Calculator Logo

What is the Least Common Multiple of 93072 and 93092?

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 93072 and 93092 is 2166064656.

LCM(93072,93092) = 2166064656

LCM Calculator and
and

Least Common Multiple of 93072 and 93092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93072 and 93092, than apply into the LCM equation.

GCF(93072,93092) = 4
LCM(93072,93092) = ( 93072 × 93092) / 4
LCM(93072,93092) = 8664258624 / 4
LCM(93072,93092) = 2166064656

Least Common Multiple (LCM) of 93072 and 93092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93072 and 93092. First we will calculate the prime factors of 93072 and 93092.

Prime Factorization of 93072

Prime factors of 93072 are 2, 3, 7, 277. Prime factorization of 93072 in exponential form is:

93072 = 24 × 31 × 71 × 2771

Prime Factorization of 93092

Prime factors of 93092 are 2, 17, 37. Prime factorization of 93092 in exponential form is:

93092 = 22 × 171 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 93072 and 93092.

LCM(93072,93092) = 24 × 31 × 71 × 2771 × 171 × 372
LCM(93072,93092) = 2166064656