What is the Least Common Multiple of 30870 and 30882?

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 30870 and 30882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30870 and 30882, than apply into the LCM equation.

GCF(30870,30882) = 6
LCM(30870,30882) = ( 30870 × 30882) / 6
LCM(30870,30882) = 953327340 / 6
LCM(30870,30882) = 158887890

Least Common Multiple (LCM) of 30870 and 30882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30870 and 30882. First we will calculate the prime factors of 30870 and 30882.

Prime Factorization of 30870

Prime Factorization of 30882

Now multiplying the highest exponent prime factors to calculate the LCM of 30870 and 30882.

LCM(30870,30882) = 2¹ × 3² × 5¹ × 7³ × 5147¹
LCM(30870,30882) = 158887890