What is the Least Common Multiple of 89274 and 89289?

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 89274 and 89289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89274 and 89289, than apply into the LCM equation.

GCF(89274,89289) = 3
LCM(89274,89289) = ( 89274 × 89289) / 3
LCM(89274,89289) = 7971186186 / 3
LCM(89274,89289) = 2657062062

Least Common Multiple (LCM) of 89274 and 89289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89274 and 89289. First we will calculate the prime factors of 89274 and 89289.

Prime Factorization of 89274

Prime Factorization of 89289

Now multiplying the highest exponent prime factors to calculate the LCM of 89274 and 89289.

LCM(89274,89289) = 2¹ × 3³ × 14879¹ × 3307¹
LCM(89274,89289) = 2657062062