What is the Least Common Multiple of 5028 and 5037?

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 5028 and 5037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5028 and 5037, than apply into the LCM equation.

GCF(5028,5037) = 3
LCM(5028,5037) = ( 5028 × 5037) / 3
LCM(5028,5037) = 25326036 / 3
LCM(5028,5037) = 8442012

Least Common Multiple (LCM) of 5028 and 5037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5028 and 5037. First we will calculate the prime factors of 5028 and 5037.

Prime Factorization of 5028

Prime Factorization of 5037

Now multiplying the highest exponent prime factors to calculate the LCM of 5028 and 5037.

LCM(5028,5037) = 2² × 3¹ × 419¹ × 23¹ × 73¹
LCM(5028,5037) = 8442012