What is the Least Common Multiple of 79168 and 79175?

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 79168 and 79175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79168 and 79175, than apply into the LCM equation.

GCF(79168,79175) = 1
LCM(79168,79175) = ( 79168 × 79175) / 1
LCM(79168,79175) = 6268126400 / 1
LCM(79168,79175) = 6268126400

Least Common Multiple (LCM) of 79168 and 79175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79168 and 79175. First we will calculate the prime factors of 79168 and 79175.

Prime Factorization of 79168

Prime Factorization of 79175

Now multiplying the highest exponent prime factors to calculate the LCM of 79168 and 79175.

LCM(79168,79175) = 2⁶ × 1237¹ × 5² × 3167¹
LCM(79168,79175) = 6268126400