What is the Least Common Multiple of 50666 and 50684?

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 50666 and 50684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50666 and 50684, than apply into the LCM equation.

GCF(50666,50684) = 2
LCM(50666,50684) = ( 50666 × 50684) / 2
LCM(50666,50684) = 2567955544 / 2
LCM(50666,50684) = 1283977772

Least Common Multiple (LCM) of 50666 and 50684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50666 and 50684. First we will calculate the prime factors of 50666 and 50684.

Prime Factorization of 50666

Prime Factorization of 50684

Now multiplying the highest exponent prime factors to calculate the LCM of 50666 and 50684.

LCM(50666,50684) = 2² × 7² × 11¹ × 47¹ × 12671¹
LCM(50666,50684) = 1283977772