What is the Least Common Multiple of 50419 and 50436?

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 50419 and 50436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50419 and 50436, than apply into the LCM equation.

GCF(50419,50436) = 1
LCM(50419,50436) = ( 50419 × 50436) / 1
LCM(50419,50436) = 2542932684 / 1
LCM(50419,50436) = 2542932684

Least Common Multiple (LCM) of 50419 and 50436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50419 and 50436. First we will calculate the prime factors of 50419 and 50436.

Prime Factorization of 50419

Prime Factorization of 50436

Now multiplying the highest exponent prime factors to calculate the LCM of 50419 and 50436.

LCM(50419,50436) = 127¹ × 397¹ × 2² × 3³ × 467¹
LCM(50419,50436) = 2542932684