What is the Least Common Multiple of 53028 and 53041?

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 53041 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 53041, than apply into the LCM equation.

GCF(53028,53041) = 1
LCM(53028,53041) = ( 53028 × 53041) / 1
LCM(53028,53041) = 2812658148 / 1
LCM(53028,53041) = 2812658148

Least Common Multiple (LCM) of 53028 and 53041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53028 and 53041. First we will calculate the prime factors of 53028 and 53041.

Prime Factorization of 53028

Prime Factorization of 53041

Now multiplying the highest exponent prime factors to calculate the LCM of 53028 and 53041.

LCM(53028,53041) = 2² × 3³ × 491¹ × 29¹ × 31¹ × 59¹
LCM(53028,53041) = 2812658148