What is the Least Common Multiple of 50547 and 50561?

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 50547 and 50561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50547 and 50561, than apply into the LCM equation.

GCF(50547,50561) = 7
LCM(50547,50561) = ( 50547 × 50561) / 7
LCM(50547,50561) = 2555706867 / 7
LCM(50547,50561) = 365100981

Least Common Multiple (LCM) of 50547 and 50561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50547 and 50561. First we will calculate the prime factors of 50547 and 50561.

Prime Factorization of 50547

Prime Factorization of 50561

Now multiplying the highest exponent prime factors to calculate the LCM of 50547 and 50561.

LCM(50547,50561) = 3¹ × 7¹ × 29¹ × 83¹ × 31¹ × 233¹
LCM(50547,50561) = 365100981