What is the Least Common Multiple of 51760 and 51767?

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 51767 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 51767, than apply into the LCM equation.

GCF(51760,51767) = 1
LCM(51760,51767) = ( 51760 × 51767) / 1
LCM(51760,51767) = 2679459920 / 1
LCM(51760,51767) = 2679459920

Least Common Multiple (LCM) of 51760 and 51767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51760 and 51767. First we will calculate the prime factors of 51760 and 51767.

Prime Factorization of 51760

Prime Factorization of 51767

Now multiplying the highest exponent prime factors to calculate the LCM of 51760 and 51767.

LCM(51760,51767) = 2⁴ × 5¹ × 647¹ × 51767¹
LCM(51760,51767) = 2679459920