What is the Least Common Multiple of 51009 and 51023?

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 51009 and 51023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51009 and 51023, than apply into the LCM equation.

GCF(51009,51023) = 7
LCM(51009,51023) = ( 51009 × 51023) / 7
LCM(51009,51023) = 2602632207 / 7
LCM(51009,51023) = 371804601

Least Common Multiple (LCM) of 51009 and 51023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51009 and 51023. First we will calculate the prime factors of 51009 and 51023.

Prime Factorization of 51009

Prime Factorization of 51023

Now multiplying the highest exponent prime factors to calculate the LCM of 51009 and 51023.

LCM(51009,51023) = 3¹ × 7² × 347¹ × 37¹ × 197¹
LCM(51009,51023) = 371804601