What is the Least Common Multiple of 62378 and 62384?

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 62378 and 62384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62378 and 62384, than apply into the LCM equation.

GCF(62378,62384) = 2
LCM(62378,62384) = ( 62378 × 62384) / 2
LCM(62378,62384) = 3891389152 / 2
LCM(62378,62384) = 1945694576

Least Common Multiple (LCM) of 62378 and 62384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62378 and 62384. First we will calculate the prime factors of 62378 and 62384.

Prime Factorization of 62378

Prime Factorization of 62384

Now multiplying the highest exponent prime factors to calculate the LCM of 62378 and 62384.

LCM(62378,62384) = 2⁴ × 31189¹ × 7¹ × 557¹
LCM(62378,62384) = 1945694576