What is the Least Common Multiple of 34860 and 34874?

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 34860 and 34874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34860 and 34874, than apply into the LCM equation.

GCF(34860,34874) = 14
LCM(34860,34874) = ( 34860 × 34874) / 14
LCM(34860,34874) = 1215707640 / 14
LCM(34860,34874) = 86836260

Least Common Multiple (LCM) of 34860 and 34874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34860 and 34874. First we will calculate the prime factors of 34860 and 34874.

Prime Factorization of 34860

Prime Factorization of 34874

Now multiplying the highest exponent prime factors to calculate the LCM of 34860 and 34874.

LCM(34860,34874) = 2² × 3¹ × 5¹ × 7¹ × 83¹ × 47¹ × 53¹
LCM(34860,34874) = 86836260