What is the Least Common Multiple of 60368 and 60376?

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 60368 and 60376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60368 and 60376, than apply into the LCM equation.

GCF(60368,60376) = 8
LCM(60368,60376) = ( 60368 × 60376) / 8
LCM(60368,60376) = 3644778368 / 8
LCM(60368,60376) = 455597296

Least Common Multiple (LCM) of 60368 and 60376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60368 and 60376. First we will calculate the prime factors of 60368 and 60376.

Prime Factorization of 60368

Prime Factorization of 60376

Now multiplying the highest exponent prime factors to calculate the LCM of 60368 and 60376.

LCM(60368,60376) = 2⁴ × 7³ × 11¹ × 7547¹
LCM(60368,60376) = 455597296