What is the Least Common Multiple of 53028 and 53037?

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 53028 and 53037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53028 and 53037, than apply into the LCM equation.

GCF(53028,53037) = 9
LCM(53028,53037) = ( 53028 × 53037) / 9
LCM(53028,53037) = 2812446036 / 9
LCM(53028,53037) = 312494004

Least Common Multiple (LCM) of 53028 and 53037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53028 and 53037. First we will calculate the prime factors of 53028 and 53037.

Prime Factorization of 53028

Prime Factorization of 53037

Now multiplying the highest exponent prime factors to calculate the LCM of 53028 and 53037.

LCM(53028,53037) = 2² × 3³ × 491¹ × 71¹ × 83¹
LCM(53028,53037) = 312494004