What is the Least Common Multiple of 50760 and 50768?

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 50760 and 50768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50760 and 50768, than apply into the LCM equation.

GCF(50760,50768) = 8
LCM(50760,50768) = ( 50760 × 50768) / 8
LCM(50760,50768) = 2576983680 / 8
LCM(50760,50768) = 322122960

Least Common Multiple (LCM) of 50760 and 50768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50760 and 50768. First we will calculate the prime factors of 50760 and 50768.

Prime Factorization of 50760

Prime Factorization of 50768

Now multiplying the highest exponent prime factors to calculate the LCM of 50760 and 50768.

LCM(50760,50768) = 2⁴ × 3³ × 5¹ × 47¹ × 19¹ × 167¹
LCM(50760,50768) = 322122960