What is the Least Common Multiple of 89186 and 89202?

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 89202 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 89202, than apply into the LCM equation.

GCF(89186,89202) = 2
LCM(89186,89202) = ( 89186 × 89202) / 2
LCM(89186,89202) = 7955569572 / 2
LCM(89186,89202) = 3977784786

Least Common Multiple (LCM) of 89186 and 89202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89186 and 89202. First we will calculate the prime factors of 89186 and 89202.

Prime Factorization of 89186

Prime Factorization of 89202

Now multiplying the highest exponent prime factors to calculate the LCM of 89186 and 89202.

LCM(89186,89202) = 2¹ × 19¹ × 2347¹ × 3¹ × 14867¹
LCM(89186,89202) = 3977784786