What is the Least Common Multiple of 8892 and 8901?

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 8892 and 8901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8892 and 8901, than apply into the LCM equation.

GCF(8892,8901) = 9
LCM(8892,8901) = ( 8892 × 8901) / 9
LCM(8892,8901) = 79147692 / 9
LCM(8892,8901) = 8794188

Least Common Multiple (LCM) of 8892 and 8901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8892 and 8901. First we will calculate the prime factors of 8892 and 8901.

Prime Factorization of 8892

Prime Factorization of 8901

Now multiplying the highest exponent prime factors to calculate the LCM of 8892 and 8901.

LCM(8892,8901) = 2² × 3² × 13¹ × 19¹ × 23¹ × 43¹
LCM(8892,8901) = 8794188