What is the Least Common Multiple of 75189 and 75208?

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 75189 and 75208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75189 and 75208, than apply into the LCM equation.

GCF(75189,75208) = 1
LCM(75189,75208) = ( 75189 × 75208) / 1
LCM(75189,75208) = 5654814312 / 1
LCM(75189,75208) = 5654814312

Least Common Multiple (LCM) of 75189 and 75208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75189 and 75208. First we will calculate the prime factors of 75189 and 75208.

Prime Factorization of 75189

Prime Factorization of 75208

Now multiplying the highest exponent prime factors to calculate the LCM of 75189 and 75208.

LCM(75189,75208) = 3¹ × 71¹ × 353¹ × 2³ × 7¹ × 17¹ × 79¹
LCM(75189,75208) = 5654814312