What is the Least Common Multiple of 30975 and 30982?

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 30975 and 30982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30975 and 30982, than apply into the LCM equation.

GCF(30975,30982) = 7
LCM(30975,30982) = ( 30975 × 30982) / 7
LCM(30975,30982) = 959667450 / 7
LCM(30975,30982) = 137095350

Least Common Multiple (LCM) of 30975 and 30982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30975 and 30982. First we will calculate the prime factors of 30975 and 30982.

Prime Factorization of 30975

Prime Factorization of 30982

Now multiplying the highest exponent prime factors to calculate the LCM of 30975 and 30982.

LCM(30975,30982) = 3¹ × 5² × 7¹ × 59¹ × 2¹ × 2213¹
LCM(30975,30982) = 137095350