What is the Least Common Multiple of 34638 and 34650?

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 34638 and 34650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34638 and 34650, than apply into the LCM equation.

GCF(34638,34650) = 6
LCM(34638,34650) = ( 34638 × 34650) / 6
LCM(34638,34650) = 1200206700 / 6
LCM(34638,34650) = 200034450

Least Common Multiple (LCM) of 34638 and 34650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34638 and 34650. First we will calculate the prime factors of 34638 and 34650.

Prime Factorization of 34638

Prime Factorization of 34650

Now multiplying the highest exponent prime factors to calculate the LCM of 34638 and 34650.

LCM(34638,34650) = 2¹ × 3² × 23¹ × 251¹ × 5² × 7¹ × 11¹
LCM(34638,34650) = 200034450