What is the Least Common Multiple of 63042 and 63057?

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 63042 and 63057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63042 and 63057, than apply into the LCM equation.

GCF(63042,63057) = 3
LCM(63042,63057) = ( 63042 × 63057) / 3
LCM(63042,63057) = 3975239394 / 3
LCM(63042,63057) = 1325079798

Least Common Multiple (LCM) of 63042 and 63057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63042 and 63057. First we will calculate the prime factors of 63042 and 63057.

Prime Factorization of 63042

Prime Factorization of 63057

Now multiplying the highest exponent prime factors to calculate the LCM of 63042 and 63057.

LCM(63042,63057) = 2¹ × 3¹ × 7¹ × 19¹ × 79¹ × 21019¹
LCM(63042,63057) = 1325079798