What is the Least Common Multiple of 90270 and 90277?

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 90270 and 90277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90270 and 90277, than apply into the LCM equation.

GCF(90270,90277) = 1
LCM(90270,90277) = ( 90270 × 90277) / 1
LCM(90270,90277) = 8149304790 / 1
LCM(90270,90277) = 8149304790

Least Common Multiple (LCM) of 90270 and 90277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90270 and 90277. First we will calculate the prime factors of 90270 and 90277.

Prime Factorization of 90270

Prime Factorization of 90277

Now multiplying the highest exponent prime factors to calculate the LCM of 90270 and 90277.

LCM(90270,90277) = 2¹ × 3² × 5¹ × 17¹ × 59¹ × 11¹ × 29¹ × 283¹
LCM(90270,90277) = 8149304790