What is the Least Common Multiple of 53009 and 53023?

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 53009 and 53023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53009 and 53023, than apply into the LCM equation.

GCF(53009,53023) = 1
LCM(53009,53023) = ( 53009 × 53023) / 1
LCM(53009,53023) = 2810696207 / 1
LCM(53009,53023) = 2810696207

Least Common Multiple (LCM) of 53009 and 53023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53009 and 53023. First we will calculate the prime factors of 53009 and 53023.

Prime Factorization of 53009

Prime Factorization of 53023

Now multiplying the highest exponent prime factors to calculate the LCM of 53009 and 53023.

LCM(53009,53023) = 11¹ × 61¹ × 79¹ × 17¹ × 3119¹
LCM(53009,53023) = 2810696207