What is the Least Common Multiple of 51760 and 51770?

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 51760 and 51770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51760 and 51770, than apply into the LCM equation.

GCF(51760,51770) = 10
LCM(51760,51770) = ( 51760 × 51770) / 10
LCM(51760,51770) = 2679615200 / 10
LCM(51760,51770) = 267961520

Least Common Multiple (LCM) of 51760 and 51770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51760 and 51770. First we will calculate the prime factors of 51760 and 51770.

Prime Factorization of 51760

Prime Factorization of 51770

Now multiplying the highest exponent prime factors to calculate the LCM of 51760 and 51770.

LCM(51760,51770) = 2⁴ × 5¹ × 647¹ × 31¹ × 167¹
LCM(51760,51770) = 267961520