What is the Least Common Multiple of 34683 and 34698?

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 34683 and 34698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34683 and 34698, than apply into the LCM equation.

GCF(34683,34698) = 3
LCM(34683,34698) = ( 34683 × 34698) / 3
LCM(34683,34698) = 1203430734 / 3
LCM(34683,34698) = 401143578

Least Common Multiple (LCM) of 34683 and 34698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34683 and 34698. First we will calculate the prime factors of 34683 and 34698.

Prime Factorization of 34683

Prime Factorization of 34698

Now multiplying the highest exponent prime factors to calculate the LCM of 34683 and 34698.

LCM(34683,34698) = 3¹ × 11¹ × 1051¹ × 2¹ × 5783¹
LCM(34683,34698) = 401143578