What is the Least Common Multiple of 50506 and 50526?

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 50506 and 50526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50506 and 50526, than apply into the LCM equation.

GCF(50506,50526) = 2
LCM(50506,50526) = ( 50506 × 50526) / 2
LCM(50506,50526) = 2551866156 / 2
LCM(50506,50526) = 1275933078

Least Common Multiple (LCM) of 50506 and 50526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50506 and 50526. First we will calculate the prime factors of 50506 and 50526.

Prime Factorization of 50506

Prime Factorization of 50526

Now multiplying the highest exponent prime factors to calculate the LCM of 50506 and 50526.

LCM(50506,50526) = 2¹ × 25253¹ × 3² × 7¹ × 401¹
LCM(50506,50526) = 1275933078