What is the Least Common Multiple of 89186 and 89206?

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 89186 and 89206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89186 and 89206, than apply into the LCM equation.

GCF(89186,89206) = 2
LCM(89186,89206) = ( 89186 × 89206) / 2
LCM(89186,89206) = 7955926316 / 2
LCM(89186,89206) = 3977963158

Least Common Multiple (LCM) of 89186 and 89206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89186 and 89206. First we will calculate the prime factors of 89186 and 89206.

Prime Factorization of 89186

Prime Factorization of 89206

Now multiplying the highest exponent prime factors to calculate the LCM of 89186 and 89206.

LCM(89186,89206) = 2¹ × 19¹ × 2347¹ × 13¹ × 47¹ × 73¹
LCM(89186,89206) = 3977963158