What is the Least Common Multiple of 30971 and 30989?

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 30971 and 30989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30971 and 30989, than apply into the LCM equation.

GCF(30971,30989) = 1
LCM(30971,30989) = ( 30971 × 30989) / 1
LCM(30971,30989) = 959760319 / 1
LCM(30971,30989) = 959760319

Least Common Multiple (LCM) of 30971 and 30989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30971 and 30989. First we will calculate the prime factors of 30971 and 30989.

Prime Factorization of 30971

Prime Factorization of 30989

Now multiplying the highest exponent prime factors to calculate the LCM of 30971 and 30989.

LCM(30971,30989) = 30971¹ × 7¹ × 19¹ × 233¹
LCM(30971,30989) = 959760319