What is the Least Common Multiple of 34668 and 34686?

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 34668 and 34686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34668 and 34686, than apply into the LCM equation.

GCF(34668,34686) = 18
LCM(34668,34686) = ( 34668 × 34686) / 18
LCM(34668,34686) = 1202494248 / 18
LCM(34668,34686) = 66805236

Least Common Multiple (LCM) of 34668 and 34686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34668 and 34686. First we will calculate the prime factors of 34668 and 34686.

Prime Factorization of 34668

Prime Factorization of 34686

Now multiplying the highest exponent prime factors to calculate the LCM of 34668 and 34686.

LCM(34668,34686) = 2² × 3⁴ × 107¹ × 41¹ × 47¹
LCM(34668,34686) = 66805236