What is the Least Common Multiple of 91020 and 91036?

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 91036 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 91036, than apply into the LCM equation.

GCF(91020,91036) = 4
LCM(91020,91036) = ( 91020 × 91036) / 4
LCM(91020,91036) = 8286096720 / 4
LCM(91020,91036) = 2071524180

Least Common Multiple (LCM) of 91020 and 91036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91020 and 91036. First we will calculate the prime factors of 91020 and 91036.

Prime Factorization of 91020

Prime Factorization of 91036

Now multiplying the highest exponent prime factors to calculate the LCM of 91020 and 91036.

LCM(91020,91036) = 2² × 3¹ × 5¹ × 37¹ × 41¹ × 11¹ × 2069¹
LCM(91020,91036) = 2071524180