What is the Least Common Multiple of 76034 and 76041?

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 76034 and 76041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76034 and 76041, than apply into the LCM equation.

GCF(76034,76041) = 7
LCM(76034,76041) = ( 76034 × 76041) / 7
LCM(76034,76041) = 5781701394 / 7
LCM(76034,76041) = 825957342

Least Common Multiple (LCM) of 76034 and 76041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76034 and 76041. First we will calculate the prime factors of 76034 and 76041.

Prime Factorization of 76034

Prime Factorization of 76041

Now multiplying the highest exponent prime factors to calculate the LCM of 76034 and 76041.

LCM(76034,76041) = 2¹ × 7¹ × 5431¹ × 3² × 17¹ × 71¹
LCM(76034,76041) = 825957342