What is the Least Common Multiple of 89214 and 89232?

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 89214 and 89232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89214 and 89232, than apply into the LCM equation.

GCF(89214,89232) = 6
LCM(89214,89232) = ( 89214 × 89232) / 6
LCM(89214,89232) = 7960743648 / 6
LCM(89214,89232) = 1326790608

Least Common Multiple (LCM) of 89214 and 89232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89214 and 89232. First we will calculate the prime factors of 89214 and 89232.

Prime Factorization of 89214

Prime Factorization of 89232

Now multiplying the highest exponent prime factors to calculate the LCM of 89214 and 89232.

LCM(89214,89232) = 2⁴ × 3¹ × 14869¹ × 11¹ × 13²
LCM(89214,89232) = 1326790608