What is the Least Common Multiple of 27705 and 27725?

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 27705 and 27725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27705 and 27725, than apply into the LCM equation.

GCF(27705,27725) = 5
LCM(27705,27725) = ( 27705 × 27725) / 5
LCM(27705,27725) = 768121125 / 5
LCM(27705,27725) = 153624225

Least Common Multiple (LCM) of 27705 and 27725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27705 and 27725. First we will calculate the prime factors of 27705 and 27725.

Prime Factorization of 27705

Prime Factorization of 27725

Now multiplying the highest exponent prime factors to calculate the LCM of 27705 and 27725.

LCM(27705,27725) = 3¹ × 5² × 1847¹ × 1109¹
LCM(27705,27725) = 153624225