What is the Least Common Multiple of 34986 and 35003?

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 35003 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 35003, than apply into the LCM equation.

GCF(34986,35003) = 17
LCM(34986,35003) = ( 34986 × 35003) / 17
LCM(34986,35003) = 1224614958 / 17
LCM(34986,35003) = 72036174

Least Common Multiple (LCM) of 34986 and 35003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34986 and 35003. First we will calculate the prime factors of 34986 and 35003.

Prime Factorization of 34986

Prime Factorization of 35003

Now multiplying the highest exponent prime factors to calculate the LCM of 34986 and 35003.

LCM(34986,35003) = 2¹ × 3¹ × 7³ × 17¹ × 29¹ × 71¹
LCM(34986,35003) = 72036174