What is the Least Common Multiple of 50640 and 50651?

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 50640 and 50651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50640 and 50651, than apply into the LCM equation.

GCF(50640,50651) = 1
LCM(50640,50651) = ( 50640 × 50651) / 1
LCM(50640,50651) = 2564966640 / 1
LCM(50640,50651) = 2564966640

Least Common Multiple (LCM) of 50640 and 50651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50640 and 50651. First we will calculate the prime factors of 50640 and 50651.

Prime Factorization of 50640

Prime Factorization of 50651

Now multiplying the highest exponent prime factors to calculate the LCM of 50640 and 50651.

LCM(50640,50651) = 2⁴ × 3¹ × 5¹ × 211¹ × 50651¹
LCM(50640,50651) = 2564966640