What is the Least Common Multiple of 83834 and 83854?

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 83834 and 83854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83834 and 83854, than apply into the LCM equation.

GCF(83834,83854) = 2
LCM(83834,83854) = ( 83834 × 83854) / 2
LCM(83834,83854) = 7029816236 / 2
LCM(83834,83854) = 3514908118

Least Common Multiple (LCM) of 83834 and 83854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83834 and 83854. First we will calculate the prime factors of 83834 and 83854.

Prime Factorization of 83834

Prime Factorization of 83854

Now multiplying the highest exponent prime factors to calculate the LCM of 83834 and 83854.

LCM(83834,83854) = 2¹ × 167¹ × 251¹ × 41927¹
LCM(83834,83854) = 3514908118