What is the Least Common Multiple of 69145 and 69164?

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 69145 and 69164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69145 and 69164, than apply into the LCM equation.

GCF(69145,69164) = 1
LCM(69145,69164) = ( 69145 × 69164) / 1
LCM(69145,69164) = 4782344780 / 1
LCM(69145,69164) = 4782344780

Least Common Multiple (LCM) of 69145 and 69164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69145 and 69164. First we will calculate the prime factors of 69145 and 69164.

Prime Factorization of 69145

Prime Factorization of 69164

Now multiplying the highest exponent prime factors to calculate the LCM of 69145 and 69164.

LCM(69145,69164) = 5¹ × 13829¹ × 2² × 17291¹
LCM(69145,69164) = 4782344780