What is the Least Common Multiple of 69140 and 69158?

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 69140 and 69158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69140 and 69158, than apply into the LCM equation.

GCF(69140,69158) = 2
LCM(69140,69158) = ( 69140 × 69158) / 2
LCM(69140,69158) = 4781584120 / 2
LCM(69140,69158) = 2390792060

Least Common Multiple (LCM) of 69140 and 69158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69140 and 69158. First we will calculate the prime factors of 69140 and 69158.

Prime Factorization of 69140

Prime Factorization of 69158

Now multiplying the highest exponent prime factors to calculate the LCM of 69140 and 69158.

LCM(69140,69158) = 2² × 5¹ × 3457¹ × 151¹ × 229¹
LCM(69140,69158) = 2390792060