What is the Least Common Multiple of 63078 and 63082?

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 63078 and 63082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63078 and 63082, than apply into the LCM equation.

GCF(63078,63082) = 2
LCM(63078,63082) = ( 63078 × 63082) / 2
LCM(63078,63082) = 3979086396 / 2
LCM(63078,63082) = 1989543198

Least Common Multiple (LCM) of 63078 and 63082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63078 and 63082. First we will calculate the prime factors of 63078 and 63082.

Prime Factorization of 63078

Prime Factorization of 63082

Now multiplying the highest exponent prime factors to calculate the LCM of 63078 and 63082.

LCM(63078,63082) = 2¹ × 3¹ × 10513¹ × 31541¹
LCM(63078,63082) = 1989543198