What is the Least Common Multiple of 51760 and 51771?

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 51771 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 51771, than apply into the LCM equation.

GCF(51760,51771) = 1
LCM(51760,51771) = ( 51760 × 51771) / 1
LCM(51760,51771) = 2679666960 / 1
LCM(51760,51771) = 2679666960

Least Common Multiple (LCM) of 51760 and 51771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51760 and 51771. First we will calculate the prime factors of 51760 and 51771.

Prime Factorization of 51760

Prime Factorization of 51771

Now multiplying the highest exponent prime factors to calculate the LCM of 51760 and 51771.

LCM(51760,51771) = 2⁴ × 5¹ × 647¹ × 3¹ × 17257¹
LCM(51760,51771) = 2679666960