What is the Least Common Multiple of 79069 and 79075?

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 79069 and 79075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79069 and 79075, than apply into the LCM equation.

GCF(79069,79075) = 1
LCM(79069,79075) = ( 79069 × 79075) / 1
LCM(79069,79075) = 6252381175 / 1
LCM(79069,79075) = 6252381175

Least Common Multiple (LCM) of 79069 and 79075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79069 and 79075. First we will calculate the prime factors of 79069 and 79075.

Prime Factorization of 79069

Prime Factorization of 79075

Now multiplying the highest exponent prime factors to calculate the LCM of 79069 and 79075.

LCM(79069,79075) = 37¹ × 2137¹ × 5² × 3163¹
LCM(79069,79075) = 6252381175