What is the Least Common Multiple of 83354 and 83362?

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 83354 and 83362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83354 and 83362, than apply into the LCM equation.

GCF(83354,83362) = 2
LCM(83354,83362) = ( 83354 × 83362) / 2
LCM(83354,83362) = 6948556148 / 2
LCM(83354,83362) = 3474278074

Least Common Multiple (LCM) of 83354 and 83362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83354 and 83362. First we will calculate the prime factors of 83354 and 83362.

Prime Factorization of 83354

Prime Factorization of 83362

Now multiplying the highest exponent prime factors to calculate the LCM of 83354 and 83362.

LCM(83354,83362) = 2¹ × 71¹ × 587¹ × 41681¹
LCM(83354,83362) = 3474278074