What is the Least Common Multiple of 63364 and 63378?

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 63364 and 63378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63364 and 63378, than apply into the LCM equation.

GCF(63364,63378) = 14
LCM(63364,63378) = ( 63364 × 63378) / 14
LCM(63364,63378) = 4015883592 / 14
LCM(63364,63378) = 286848828

Least Common Multiple (LCM) of 63364 and 63378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63364 and 63378. First we will calculate the prime factors of 63364 and 63378.

Prime Factorization of 63364

Prime Factorization of 63378

Now multiplying the highest exponent prime factors to calculate the LCM of 63364 and 63378.

LCM(63364,63378) = 2² × 7¹ × 31¹ × 73¹ × 3² × 503¹
LCM(63364,63378) = 286848828