What is the Least Common Multiple of 63022 and 63034?

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 63022 and 63034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63022 and 63034, than apply into the LCM equation.

GCF(63022,63034) = 2
LCM(63022,63034) = ( 63022 × 63034) / 2
LCM(63022,63034) = 3972528748 / 2
LCM(63022,63034) = 1986264374

Least Common Multiple (LCM) of 63022 and 63034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63022 and 63034. First we will calculate the prime factors of 63022 and 63034.

Prime Factorization of 63022

Prime Factorization of 63034

Now multiplying the highest exponent prime factors to calculate the LCM of 63022 and 63034.

LCM(63022,63034) = 2¹ × 31511¹ × 31517¹
LCM(63022,63034) = 1986264374