What is the Least Common Multiple of 90369 and 90377?

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 90369 and 90377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90369 and 90377, than apply into the LCM equation.

GCF(90369,90377) = 1
LCM(90369,90377) = ( 90369 × 90377) / 1
LCM(90369,90377) = 8167279113 / 1
LCM(90369,90377) = 8167279113

Least Common Multiple (LCM) of 90369 and 90377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90369 and 90377. First we will calculate the prime factors of 90369 and 90377.

Prime Factorization of 90369

Prime Factorization of 90377

Now multiplying the highest exponent prime factors to calculate the LCM of 90369 and 90377.

LCM(90369,90377) = 3³ × 3347¹ × 7¹ × 12911¹
LCM(90369,90377) = 8167279113