What is the Least Common Multiple of 608 and 623?

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 608 and 623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 608 and 623, than apply into the LCM equation.

GCF(608,623) = 1
LCM(608,623) = ( 608 × 623) / 1
LCM(608,623) = 378784 / 1
LCM(608,623) = 378784

Least Common Multiple (LCM) of 608 and 623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 608 and 623. First we will calculate the prime factors of 608 and 623.

Prime Factorization of 608

Prime Factorization of 623

Now multiplying the highest exponent prime factors to calculate the LCM of 608 and 623.

LCM(608,623) = 2⁵ × 19¹ × 7¹ × 89¹
LCM(608,623) = 378784