What is the Least Common Multiple of 92904 and 92918?

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 92904 and 92918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92904 and 92918, than apply into the LCM equation.

GCF(92904,92918) = 14
LCM(92904,92918) = ( 92904 × 92918) / 14
LCM(92904,92918) = 8632453872 / 14
LCM(92904,92918) = 616603848

Least Common Multiple (LCM) of 92904 and 92918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92904 and 92918. First we will calculate the prime factors of 92904 and 92918.

Prime Factorization of 92904

Prime Factorization of 92918

Now multiplying the highest exponent prime factors to calculate the LCM of 92904 and 92918.

LCM(92904,92918) = 2³ × 3¹ × 7² × 79¹ × 6637¹
LCM(92904,92918) = 616603848