What is the Least Common Multiple of 83352 and 83365?

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 83352 and 83365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83352 and 83365, than apply into the LCM equation.

GCF(83352,83365) = 1
LCM(83352,83365) = ( 83352 × 83365) / 1
LCM(83352,83365) = 6948639480 / 1
LCM(83352,83365) = 6948639480

Least Common Multiple (LCM) of 83352 and 83365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83352 and 83365. First we will calculate the prime factors of 83352 and 83365.

Prime Factorization of 83352

Prime Factorization of 83365

Now multiplying the highest exponent prime factors to calculate the LCM of 83352 and 83365.

LCM(83352,83365) = 2³ × 3¹ × 23¹ × 151¹ × 5¹ × 16673¹
LCM(83352,83365) = 6948639480