What is the Least Common Multiple of 34986 and 34999?

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 34986 and 34999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34986 and 34999, than apply into the LCM equation.

GCF(34986,34999) = 1
LCM(34986,34999) = ( 34986 × 34999) / 1
LCM(34986,34999) = 1224475014 / 1
LCM(34986,34999) = 1224475014

Least Common Multiple (LCM) of 34986 and 34999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34986 and 34999. First we will calculate the prime factors of 34986 and 34999.

Prime Factorization of 34986

Prime Factorization of 34999

Now multiplying the highest exponent prime factors to calculate the LCM of 34986 and 34999.

LCM(34986,34999) = 2¹ × 3¹ × 7³ × 17¹ × 31¹ × 1129¹
LCM(34986,34999) = 1224475014