What is the Least Common Multiple of 6034 and 6047?

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 6034 and 6047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6034 and 6047, than apply into the LCM equation.

GCF(6034,6047) = 1
LCM(6034,6047) = ( 6034 × 6047) / 1
LCM(6034,6047) = 36487598 / 1
LCM(6034,6047) = 36487598

Least Common Multiple (LCM) of 6034 and 6047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6034 and 6047. First we will calculate the prime factors of 6034 and 6047.

Prime Factorization of 6034

Prime Factorization of 6047

Now multiplying the highest exponent prime factors to calculate the LCM of 6034 and 6047.

LCM(6034,6047) = 2¹ × 7¹ × 431¹ × 6047¹
LCM(6034,6047) = 36487598