What is the Least Common Multiple of 7364 and 7378?

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 7364 and 7378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7364 and 7378, than apply into the LCM equation.

GCF(7364,7378) = 14
LCM(7364,7378) = ( 7364 × 7378) / 14
LCM(7364,7378) = 54331592 / 14
LCM(7364,7378) = 3880828

Least Common Multiple (LCM) of 7364 and 7378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7364 and 7378. First we will calculate the prime factors of 7364 and 7378.

Prime Factorization of 7364

Prime Factorization of 7378

Now multiplying the highest exponent prime factors to calculate the LCM of 7364 and 7378.

LCM(7364,7378) = 2² × 7¹ × 263¹ × 17¹ × 31¹
LCM(7364,7378) = 3880828