What is the Least Common Multiple of 74038 and 74057?

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 74038 and 74057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74038 and 74057, than apply into the LCM equation.

GCF(74038,74057) = 1
LCM(74038,74057) = ( 74038 × 74057) / 1
LCM(74038,74057) = 5483032166 / 1
LCM(74038,74057) = 5483032166

Least Common Multiple (LCM) of 74038 and 74057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74038 and 74057. First we will calculate the prime factors of 74038 and 74057.

Prime Factorization of 74038

Prime Factorization of 74057

Now multiplying the highest exponent prime factors to calculate the LCM of 74038 and 74057.

LCM(74038,74057) = 2¹ × 37019¹ × 103¹ × 719¹
LCM(74038,74057) = 5483032166