What is the Least Common Multiple of 63414 and 63428?

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 63414 and 63428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63414 and 63428, than apply into the LCM equation.

GCF(63414,63428) = 2
LCM(63414,63428) = ( 63414 × 63428) / 2
LCM(63414,63428) = 4022223192 / 2
LCM(63414,63428) = 2011111596

Least Common Multiple (LCM) of 63414 and 63428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63414 and 63428. First we will calculate the prime factors of 63414 and 63428.

Prime Factorization of 63414

Prime Factorization of 63428

Now multiplying the highest exponent prime factors to calculate the LCM of 63414 and 63428.

LCM(63414,63428) = 2² × 3² × 13¹ × 271¹ × 101¹ × 157¹
LCM(63414,63428) = 2011111596