What is the Least Common Multiple of 75162 and 75171?

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 75162 and 75171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75162 and 75171, than apply into the LCM equation.

GCF(75162,75171) = 3
LCM(75162,75171) = ( 75162 × 75171) / 3
LCM(75162,75171) = 5650002702 / 3
LCM(75162,75171) = 1883334234

Least Common Multiple (LCM) of 75162 and 75171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75162 and 75171. First we will calculate the prime factors of 75162 and 75171.

Prime Factorization of 75162

Prime Factorization of 75171

Now multiplying the highest exponent prime factors to calculate the LCM of 75162 and 75171.

LCM(75162,75171) = 2¹ × 3¹ × 12527¹ × 25057¹
LCM(75162,75171) = 1883334234