What is the Least Common Multiple of 30946 and 30952?

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 30946 and 30952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30946 and 30952, than apply into the LCM equation.

GCF(30946,30952) = 2
LCM(30946,30952) = ( 30946 × 30952) / 2
LCM(30946,30952) = 957840592 / 2
LCM(30946,30952) = 478920296

Least Common Multiple (LCM) of 30946 and 30952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30946 and 30952. First we will calculate the prime factors of 30946 and 30952.

Prime Factorization of 30946

Prime Factorization of 30952

Now multiplying the highest exponent prime factors to calculate the LCM of 30946 and 30952.

LCM(30946,30952) = 2³ × 15473¹ × 53¹ × 73¹
LCM(30946,30952) = 478920296