What is the Least Common Multiple of 50608 and 50615?

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 50608 and 50615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50608 and 50615, than apply into the LCM equation.

GCF(50608,50615) = 1
LCM(50608,50615) = ( 50608 × 50615) / 1
LCM(50608,50615) = 2561523920 / 1
LCM(50608,50615) = 2561523920

Least Common Multiple (LCM) of 50608 and 50615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50608 and 50615. First we will calculate the prime factors of 50608 and 50615.

Prime Factorization of 50608

Prime Factorization of 50615

Now multiplying the highest exponent prime factors to calculate the LCM of 50608 and 50615.

LCM(50608,50615) = 2⁴ × 3163¹ × 5¹ × 53¹ × 191¹
LCM(50608,50615) = 2561523920