What is the Least Common Multiple of 51080 and 51097?

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 51080 and 51097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51080 and 51097, than apply into the LCM equation.

GCF(51080,51097) = 1
LCM(51080,51097) = ( 51080 × 51097) / 1
LCM(51080,51097) = 2610034760 / 1
LCM(51080,51097) = 2610034760

Least Common Multiple (LCM) of 51080 and 51097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51080 and 51097. First we will calculate the prime factors of 51080 and 51097.

Prime Factorization of 51080

Prime Factorization of 51097

Now multiplying the highest exponent prime factors to calculate the LCM of 51080 and 51097.

LCM(51080,51097) = 2³ × 5¹ × 1277¹ × 37¹ × 1381¹
LCM(51080,51097) = 2610034760