What is the Least Common Multiple of 31020 and 31038?

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 31020 and 31038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31020 and 31038, than apply into the LCM equation.

GCF(31020,31038) = 6
LCM(31020,31038) = ( 31020 × 31038) / 6
LCM(31020,31038) = 962798760 / 6
LCM(31020,31038) = 160466460

Least Common Multiple (LCM) of 31020 and 31038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31020 and 31038. First we will calculate the prime factors of 31020 and 31038.

Prime Factorization of 31020

Prime Factorization of 31038

Now multiplying the highest exponent prime factors to calculate the LCM of 31020 and 31038.

LCM(31020,31038) = 2² × 3¹ × 5¹ × 11¹ × 47¹ × 7¹ × 739¹
LCM(31020,31038) = 160466460