What is the Least Common Multiple of 75075 and 75091?

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 75075 and 75091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75075 and 75091, than apply into the LCM equation.

GCF(75075,75091) = 1
LCM(75075,75091) = ( 75075 × 75091) / 1
LCM(75075,75091) = 5637456825 / 1
LCM(75075,75091) = 5637456825

Least Common Multiple (LCM) of 75075 and 75091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75075 and 75091. First we will calculate the prime factors of 75075 and 75091.

Prime Factorization of 75075

Prime Factorization of 75091

Now multiplying the highest exponent prime factors to calculate the LCM of 75075 and 75091.

LCM(75075,75091) = 3¹ × 5² × 7¹ × 11¹ × 13¹ × 61¹ × 1231¹
LCM(75075,75091) = 5637456825