What is the Least Common Multiple of 27100 and 27105?

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 27100 and 27105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27100 and 27105, than apply into the LCM equation.

GCF(27100,27105) = 5
LCM(27100,27105) = ( 27100 × 27105) / 5
LCM(27100,27105) = 734545500 / 5
LCM(27100,27105) = 146909100

Least Common Multiple (LCM) of 27100 and 27105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27100 and 27105. First we will calculate the prime factors of 27100 and 27105.

Prime Factorization of 27100

Prime Factorization of 27105

Now multiplying the highest exponent prime factors to calculate the LCM of 27100 and 27105.

LCM(27100,27105) = 2² × 5² × 271¹ × 3¹ × 13¹ × 139¹
LCM(27100,27105) = 146909100