What is the Least Common Multiple of 7028 and 7037?

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 7028 and 7037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7028 and 7037, than apply into the LCM equation.

GCF(7028,7037) = 1
LCM(7028,7037) = ( 7028 × 7037) / 1
LCM(7028,7037) = 49456036 / 1
LCM(7028,7037) = 49456036

Least Common Multiple (LCM) of 7028 and 7037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7028 and 7037. First we will calculate the prime factors of 7028 and 7037.

Prime Factorization of 7028

Prime Factorization of 7037

Now multiplying the highest exponent prime factors to calculate the LCM of 7028 and 7037.

LCM(7028,7037) = 2² × 7¹ × 251¹ × 31¹ × 227¹
LCM(7028,7037) = 49456036