What is the Least Common Multiple of 50780 and 50796?

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 50780 and 50796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50780 and 50796, than apply into the LCM equation.

GCF(50780,50796) = 4
LCM(50780,50796) = ( 50780 × 50796) / 4
LCM(50780,50796) = 2579420880 / 4
LCM(50780,50796) = 644855220

Least Common Multiple (LCM) of 50780 and 50796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50780 and 50796. First we will calculate the prime factors of 50780 and 50796.

Prime Factorization of 50780

Prime Factorization of 50796

Now multiplying the highest exponent prime factors to calculate the LCM of 50780 and 50796.

LCM(50780,50796) = 2² × 5¹ × 2539¹ × 3² × 17¹ × 83¹
LCM(50780,50796) = 644855220