What is the Least Common Multiple of 34650 and 34662?

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 34650 and 34662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34650 and 34662, than apply into the LCM equation.

GCF(34650,34662) = 6
LCM(34650,34662) = ( 34650 × 34662) / 6
LCM(34650,34662) = 1201038300 / 6
LCM(34650,34662) = 200173050

Least Common Multiple (LCM) of 34650 and 34662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34650 and 34662. First we will calculate the prime factors of 34650 and 34662.

Prime Factorization of 34650

Prime Factorization of 34662

Now multiplying the highest exponent prime factors to calculate the LCM of 34650 and 34662.

LCM(34650,34662) = 2¹ × 3² × 5² × 7¹ × 11¹ × 53¹ × 109¹
LCM(34650,34662) = 200173050