What is the Least Common Multiple of 65188 and 65202?

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 65188 and 65202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65188 and 65202, than apply into the LCM equation.

GCF(65188,65202) = 2
LCM(65188,65202) = ( 65188 × 65202) / 2
LCM(65188,65202) = 4250387976 / 2
LCM(65188,65202) = 2125193988

Least Common Multiple (LCM) of 65188 and 65202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65188 and 65202. First we will calculate the prime factors of 65188 and 65202.

Prime Factorization of 65188

Prime Factorization of 65202

Now multiplying the highest exponent prime factors to calculate the LCM of 65188 and 65202.

LCM(65188,65202) = 2² × 43¹ × 379¹ × 3¹ × 10867¹
LCM(65188,65202) = 2125193988