What is the Least Common Multiple of 50955 and 50973?

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 50955 and 50973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50955 and 50973, than apply into the LCM equation.

GCF(50955,50973) = 3
LCM(50955,50973) = ( 50955 × 50973) / 3
LCM(50955,50973) = 2597329215 / 3
LCM(50955,50973) = 865776405

Least Common Multiple (LCM) of 50955 and 50973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50955 and 50973. First we will calculate the prime factors of 50955 and 50973.

Prime Factorization of 50955

Prime Factorization of 50973

Now multiplying the highest exponent prime factors to calculate the LCM of 50955 and 50973.

LCM(50955,50973) = 3¹ × 5¹ × 43¹ × 79¹ × 13¹ × 1307¹
LCM(50955,50973) = 865776405