What is the Least Common Multiple of 63075 and 63085?

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 63075 and 63085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63075 and 63085, than apply into the LCM equation.

GCF(63075,63085) = 5
LCM(63075,63085) = ( 63075 × 63085) / 5
LCM(63075,63085) = 3979086375 / 5
LCM(63075,63085) = 795817275

Least Common Multiple (LCM) of 63075 and 63085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63075 and 63085. First we will calculate the prime factors of 63075 and 63085.

Prime Factorization of 63075

Prime Factorization of 63085

Now multiplying the highest exponent prime factors to calculate the LCM of 63075 and 63085.

LCM(63075,63085) = 3¹ × 5² × 29² × 11¹ × 31¹ × 37¹
LCM(63075,63085) = 795817275