What is the Least Common Multiple of 35364 and 35378?

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 35364 and 35378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35364 and 35378, than apply into the LCM equation.

GCF(35364,35378) = 14
LCM(35364,35378) = ( 35364 × 35378) / 14
LCM(35364,35378) = 1251107592 / 14
LCM(35364,35378) = 89364828

Least Common Multiple (LCM) of 35364 and 35378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35364 and 35378. First we will calculate the prime factors of 35364 and 35378.

Prime Factorization of 35364

Prime Factorization of 35378

Now multiplying the highest exponent prime factors to calculate the LCM of 35364 and 35378.

LCM(35364,35378) = 2² × 3¹ × 7² × 421¹ × 19²
LCM(35364,35378) = 89364828