What is the Least Common Multiple of 51760 and 51768?

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 51768 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 51768, than apply into the LCM equation.

GCF(51760,51768) = 8
LCM(51760,51768) = ( 51760 × 51768) / 8
LCM(51760,51768) = 2679511680 / 8
LCM(51760,51768) = 334938960

Least Common Multiple (LCM) of 51760 and 51768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51760 and 51768. First we will calculate the prime factors of 51760 and 51768.

Prime Factorization of 51760

Prime Factorization of 51768

Now multiplying the highest exponent prime factors to calculate the LCM of 51760 and 51768.

LCM(51760,51768) = 2⁴ × 5¹ × 647¹ × 3² × 719¹
LCM(51760,51768) = 334938960