What is the Least Common Multiple of 30958 and 30971?

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 30971 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 30971, than apply into the LCM equation.

GCF(30958,30971) = 1
LCM(30958,30971) = ( 30958 × 30971) / 1
LCM(30958,30971) = 958800218 / 1
LCM(30958,30971) = 958800218

Least Common Multiple (LCM) of 30958 and 30971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30958 and 30971. First we will calculate the prime factors of 30958 and 30971.

Prime Factorization of 30958

Prime Factorization of 30971

Now multiplying the highest exponent prime factors to calculate the LCM of 30958 and 30971.

LCM(30958,30971) = 2¹ × 23¹ × 673¹ × 30971¹
LCM(30958,30971) = 958800218