What is the Least Common Multiple of 90420 and 90427?

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 90420 and 90427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90420 and 90427, than apply into the LCM equation.

GCF(90420,90427) = 1
LCM(90420,90427) = ( 90420 × 90427) / 1
LCM(90420,90427) = 8176409340 / 1
LCM(90420,90427) = 8176409340

Least Common Multiple (LCM) of 90420 and 90427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90420 and 90427. First we will calculate the prime factors of 90420 and 90427.

Prime Factorization of 90420

Prime Factorization of 90427

Now multiplying the highest exponent prime factors to calculate the LCM of 90420 and 90427.

LCM(90420,90427) = 2² × 3¹ × 5¹ × 11¹ × 137¹ × 31¹ × 2917¹
LCM(90420,90427) = 8176409340