What is the Least Common Multiple of 27075 and 27080?

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 27075 and 27080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27075 and 27080, than apply into the LCM equation.

GCF(27075,27080) = 5
LCM(27075,27080) = ( 27075 × 27080) / 5
LCM(27075,27080) = 733191000 / 5
LCM(27075,27080) = 146638200

Least Common Multiple (LCM) of 27075 and 27080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27075 and 27080. First we will calculate the prime factors of 27075 and 27080.

Prime Factorization of 27075

Prime Factorization of 27080

Now multiplying the highest exponent prime factors to calculate the LCM of 27075 and 27080.

LCM(27075,27080) = 3¹ × 5² × 19² × 2³ × 677¹
LCM(27075,27080) = 146638200