What is the Least Common Multiple of 73374 and 73378?

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 73374 and 73378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73374 and 73378, than apply into the LCM equation.

GCF(73374,73378) = 2
LCM(73374,73378) = ( 73374 × 73378) / 2
LCM(73374,73378) = 5384037372 / 2
LCM(73374,73378) = 2692018686

Least Common Multiple (LCM) of 73374 and 73378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73374 and 73378. First we will calculate the prime factors of 73374 and 73378.

Prime Factorization of 73374

Prime Factorization of 73378

Now multiplying the highest exponent prime factors to calculate the LCM of 73374 and 73378.

LCM(73374,73378) = 2¹ × 3¹ × 7¹ × 1747¹ × 19¹ × 1931¹
LCM(73374,73378) = 2692018686