What is the Least Common Multiple of 53031 and 53044?

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 53031 and 53044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53031 and 53044, than apply into the LCM equation.

GCF(53031,53044) = 1
LCM(53031,53044) = ( 53031 × 53044) / 1
LCM(53031,53044) = 2812976364 / 1
LCM(53031,53044) = 2812976364

Least Common Multiple (LCM) of 53031 and 53044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53031 and 53044. First we will calculate the prime factors of 53031 and 53044.

Prime Factorization of 53031

Prime Factorization of 53044

Now multiplying the highest exponent prime factors to calculate the LCM of 53031 and 53044.

LCM(53031,53044) = 3¹ × 11¹ × 1607¹ × 2² × 89¹ × 149¹
LCM(53031,53044) = 2812976364