What is the Least Common Multiple of 91404 and 91420?

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 91404 and 91420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91404 and 91420, than apply into the LCM equation.

GCF(91404,91420) = 4
LCM(91404,91420) = ( 91404 × 91420) / 4
LCM(91404,91420) = 8356153680 / 4
LCM(91404,91420) = 2089038420

Least Common Multiple (LCM) of 91404 and 91420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91404 and 91420. First we will calculate the prime factors of 91404 and 91420.

Prime Factorization of 91404

Prime Factorization of 91420

Now multiplying the highest exponent prime factors to calculate the LCM of 91404 and 91420.

LCM(91404,91420) = 2² × 3² × 2539¹ × 5¹ × 7¹ × 653¹
LCM(91404,91420) = 2089038420