What is the Least Common Multiple of 90412 and 90420?

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 90412 and 90420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90412 and 90420, than apply into the LCM equation.

GCF(90412,90420) = 4
LCM(90412,90420) = ( 90412 × 90420) / 4
LCM(90412,90420) = 8175053040 / 4
LCM(90412,90420) = 2043763260

Least Common Multiple (LCM) of 90412 and 90420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90412 and 90420. First we will calculate the prime factors of 90412 and 90420.

Prime Factorization of 90412

Prime Factorization of 90420

Now multiplying the highest exponent prime factors to calculate the LCM of 90412 and 90420.

LCM(90412,90420) = 2² × 7¹ × 3229¹ × 3¹ × 5¹ × 11¹ × 137¹
LCM(90412,90420) = 2043763260