What is the Least Common Multiple of 31029 and 31047?

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 31029 and 31047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31029 and 31047, than apply into the LCM equation.

GCF(31029,31047) = 3
LCM(31029,31047) = ( 31029 × 31047) / 3
LCM(31029,31047) = 963357363 / 3
LCM(31029,31047) = 321119121

Least Common Multiple (LCM) of 31029 and 31047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31029 and 31047. First we will calculate the prime factors of 31029 and 31047.

Prime Factorization of 31029

Prime Factorization of 31047

Now multiplying the highest exponent prime factors to calculate the LCM of 31029 and 31047.

LCM(31029,31047) = 3¹ × 10343¹ × 79¹ × 131¹
LCM(31029,31047) = 321119121