What is the Least Common Multiple of 75870 and 75882?

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 75870 and 75882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75870 and 75882, than apply into the LCM equation.

GCF(75870,75882) = 6
LCM(75870,75882) = ( 75870 × 75882) / 6
LCM(75870,75882) = 5757167340 / 6
LCM(75870,75882) = 959527890

Least Common Multiple (LCM) of 75870 and 75882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75870 and 75882. First we will calculate the prime factors of 75870 and 75882.

Prime Factorization of 75870

Prime Factorization of 75882

Now multiplying the highest exponent prime factors to calculate the LCM of 75870 and 75882.

LCM(75870,75882) = 2¹ × 3³ × 5¹ × 281¹ × 12647¹
LCM(75870,75882) = 959527890