What is the Least Common Multiple of 89208 and 89214?

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 89208 and 89214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89208 and 89214, than apply into the LCM equation.

GCF(89208,89214) = 6
LCM(89208,89214) = ( 89208 × 89214) / 6
LCM(89208,89214) = 7958602512 / 6
LCM(89208,89214) = 1326433752

Least Common Multiple (LCM) of 89208 and 89214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89208 and 89214. First we will calculate the prime factors of 89208 and 89214.

Prime Factorization of 89208

Prime Factorization of 89214

Now multiplying the highest exponent prime factors to calculate the LCM of 89208 and 89214.

LCM(89208,89214) = 2³ × 3³ × 7¹ × 59¹ × 14869¹
LCM(89208,89214) = 1326433752