What is the Least Common Multiple of 31372 and 31378?

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 31372 and 31378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31372 and 31378, than apply into the LCM equation.

GCF(31372,31378) = 2
LCM(31372,31378) = ( 31372 × 31378) / 2
LCM(31372,31378) = 984390616 / 2
LCM(31372,31378) = 492195308

Least Common Multiple (LCM) of 31372 and 31378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31372 and 31378. First we will calculate the prime factors of 31372 and 31378.

Prime Factorization of 31372

Prime Factorization of 31378

Now multiplying the highest exponent prime factors to calculate the LCM of 31372 and 31378.

LCM(31372,31378) = 2² × 11¹ × 23¹ × 31¹ × 29¹ × 541¹
LCM(31372,31378) = 492195308