What is the Least Common Multiple of 30945 and 30961?

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 30945 and 30961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30945 and 30961, than apply into the LCM equation.

GCF(30945,30961) = 1
LCM(30945,30961) = ( 30945 × 30961) / 1
LCM(30945,30961) = 958088145 / 1
LCM(30945,30961) = 958088145

Least Common Multiple (LCM) of 30945 and 30961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30945 and 30961. First we will calculate the prime factors of 30945 and 30961.

Prime Factorization of 30945

Prime Factorization of 30961

Now multiplying the highest exponent prime factors to calculate the LCM of 30945 and 30961.

LCM(30945,30961) = 3¹ × 5¹ × 2063¹ × 7¹ × 4423¹
LCM(30945,30961) = 958088145