What is the Least Common Multiple of 7038 and 7057?

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 7038 and 7057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7038 and 7057, than apply into the LCM equation.

GCF(7038,7057) = 1
LCM(7038,7057) = ( 7038 × 7057) / 1
LCM(7038,7057) = 49667166 / 1
LCM(7038,7057) = 49667166

Least Common Multiple (LCM) of 7038 and 7057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7038 and 7057. First we will calculate the prime factors of 7038 and 7057.

Prime Factorization of 7038

Prime Factorization of 7057

Now multiplying the highest exponent prime factors to calculate the LCM of 7038 and 7057.

LCM(7038,7057) = 2¹ × 3² × 17¹ × 23¹ × 7057¹
LCM(7038,7057) = 49667166