What is the Least Common Multiple of 30958 and 30976?

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 30958 and 30976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30958 and 30976, than apply into the LCM equation.

GCF(30958,30976) = 2
LCM(30958,30976) = ( 30958 × 30976) / 2
LCM(30958,30976) = 958955008 / 2
LCM(30958,30976) = 479477504

Least Common Multiple (LCM) of 30958 and 30976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30958 and 30976. First we will calculate the prime factors of 30958 and 30976.

Prime Factorization of 30958

Prime Factorization of 30976

Now multiplying the highest exponent prime factors to calculate the LCM of 30958 and 30976.

LCM(30958,30976) = 2⁸ × 23¹ × 673¹ × 11²
LCM(30958,30976) = 479477504