What is the Least Common Multiple of 91020 and 91038?

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 91020 and 91038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91020 and 91038, than apply into the LCM equation.

GCF(91020,91038) = 6
LCM(91020,91038) = ( 91020 × 91038) / 6
LCM(91020,91038) = 8286278760 / 6
LCM(91020,91038) = 1381046460

Least Common Multiple (LCM) of 91020 and 91038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91020 and 91038. First we will calculate the prime factors of 91020 and 91038.

Prime Factorization of 91020

Prime Factorization of 91038

Now multiplying the highest exponent prime factors to calculate the LCM of 91020 and 91038.

LCM(91020,91038) = 2² × 3¹ × 5¹ × 37¹ × 41¹ × 15173¹
LCM(91020,91038) = 1381046460