What is the Least Common Multiple of 50960 and 50978?

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 50960 and 50978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50960 and 50978, than apply into the LCM equation.

GCF(50960,50978) = 2
LCM(50960,50978) = ( 50960 × 50978) / 2
LCM(50960,50978) = 2597838880 / 2
LCM(50960,50978) = 1298919440

Least Common Multiple (LCM) of 50960 and 50978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50960 and 50978. First we will calculate the prime factors of 50960 and 50978.

Prime Factorization of 50960

Prime Factorization of 50978

Now multiplying the highest exponent prime factors to calculate the LCM of 50960 and 50978.

LCM(50960,50978) = 2⁴ × 5¹ × 7² × 13¹ × 71¹ × 359¹
LCM(50960,50978) = 1298919440