What is the Least Common Multiple of 68074 and 68084?

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 68074 and 68084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68074 and 68084, than apply into the LCM equation.

GCF(68074,68084) = 2
LCM(68074,68084) = ( 68074 × 68084) / 2
LCM(68074,68084) = 4634750216 / 2
LCM(68074,68084) = 2317375108

Least Common Multiple (LCM) of 68074 and 68084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68074 and 68084. First we will calculate the prime factors of 68074 and 68084.

Prime Factorization of 68074

Prime Factorization of 68084

Now multiplying the highest exponent prime factors to calculate the LCM of 68074 and 68084.

LCM(68074,68084) = 2² × 101¹ × 337¹ × 17021¹
LCM(68074,68084) = 2317375108