What is the Least Common Multiple of 89920 and 89926?

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 89920 and 89926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89920 and 89926, than apply into the LCM equation.

GCF(89920,89926) = 2
LCM(89920,89926) = ( 89920 × 89926) / 2
LCM(89920,89926) = 8086145920 / 2
LCM(89920,89926) = 4043072960

Least Common Multiple (LCM) of 89920 and 89926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89920 and 89926. First we will calculate the prime factors of 89920 and 89926.

Prime Factorization of 89920

Prime Factorization of 89926

Now multiplying the highest exponent prime factors to calculate the LCM of 89920 and 89926.

LCM(89920,89926) = 2⁶ × 5¹ × 281¹ × 44963¹
LCM(89920,89926) = 4043072960