What is the Least Common Multiple of 90880 and 90888?

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 90880 and 90888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90880 and 90888, than apply into the LCM equation.

GCF(90880,90888) = 8
LCM(90880,90888) = ( 90880 × 90888) / 8
LCM(90880,90888) = 8259901440 / 8
LCM(90880,90888) = 1032487680

Least Common Multiple (LCM) of 90880 and 90888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90880 and 90888. First we will calculate the prime factors of 90880 and 90888.

Prime Factorization of 90880

Prime Factorization of 90888

Now multiplying the highest exponent prime factors to calculate the LCM of 90880 and 90888.

LCM(90880,90888) = 2⁸ × 5¹ × 71¹ × 3¹ × 7¹ × 541¹
LCM(90880,90888) = 1032487680