What is the Least Common Multiple of 63060 and 63078?

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 63060 and 63078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63060 and 63078, than apply into the LCM equation.

GCF(63060,63078) = 6
LCM(63060,63078) = ( 63060 × 63078) / 6
LCM(63060,63078) = 3977698680 / 6
LCM(63060,63078) = 662949780

Least Common Multiple (LCM) of 63060 and 63078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63060 and 63078. First we will calculate the prime factors of 63060 and 63078.

Prime Factorization of 63060

Prime Factorization of 63078

Now multiplying the highest exponent prime factors to calculate the LCM of 63060 and 63078.

LCM(63060,63078) = 2² × 3¹ × 5¹ × 1051¹ × 10513¹
LCM(63060,63078) = 662949780