What is the Least Common Multiple of 84374 and 84382?

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 84374 and 84382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84374 and 84382, than apply into the LCM equation.

GCF(84374,84382) = 2
LCM(84374,84382) = ( 84374 × 84382) / 2
LCM(84374,84382) = 7119646868 / 2
LCM(84374,84382) = 3559823434

Least Common Multiple (LCM) of 84374 and 84382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84374 and 84382. First we will calculate the prime factors of 84374 and 84382.

Prime Factorization of 84374

Prime Factorization of 84382

Now multiplying the highest exponent prime factors to calculate the LCM of 84374 and 84382.

LCM(84374,84382) = 2¹ × 42187¹ × 31¹ × 1361¹
LCM(84374,84382) = 3559823434