What is the Least Common Multiple of 73360 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 73360 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 73360 and 73378, than apply into the LCM equation.

GCF(73360,73378) = 2
LCM(73360,73378) = ( 73360 × 73378) / 2
LCM(73360,73378) = 5383010080 / 2
LCM(73360,73378) = 2691505040

Least Common Multiple (LCM) of 73360 and 73378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73360 and 73378. First we will calculate the prime factors of 73360 and 73378.

Prime Factorization of 73360

Prime Factorization of 73378

Now multiplying the highest exponent prime factors to calculate the LCM of 73360 and 73378.

LCM(73360,73378) = 2⁴ × 5¹ × 7¹ × 131¹ × 19¹ × 1931¹
LCM(73360,73378) = 2691505040