What is the Least Common Multiple of 51638 and 51650?

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 51638 and 51650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51638 and 51650, than apply into the LCM equation.

GCF(51638,51650) = 2
LCM(51638,51650) = ( 51638 × 51650) / 2
LCM(51638,51650) = 2667102700 / 2
LCM(51638,51650) = 1333551350

Least Common Multiple (LCM) of 51638 and 51650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51638 and 51650. First we will calculate the prime factors of 51638 and 51650.

Prime Factorization of 51638

Prime Factorization of 51650

Now multiplying the highest exponent prime factors to calculate the LCM of 51638 and 51650.

LCM(51638,51650) = 2¹ × 25819¹ × 5² × 1033¹
LCM(51638,51650) = 1333551350