What is the Least Common Multiple of 53028 and 53040?

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 53040 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 53040, than apply into the LCM equation.

GCF(53028,53040) = 12
LCM(53028,53040) = ( 53028 × 53040) / 12
LCM(53028,53040) = 2812605120 / 12
LCM(53028,53040) = 234383760

Least Common Multiple (LCM) of 53028 and 53040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53028 and 53040. First we will calculate the prime factors of 53028 and 53040.

Prime Factorization of 53028

Prime Factorization of 53040

Now multiplying the highest exponent prime factors to calculate the LCM of 53028 and 53040.

LCM(53028,53040) = 2⁴ × 3³ × 491¹ × 5¹ × 13¹ × 17¹
LCM(53028,53040) = 234383760