What is the Least Common Multiple of 83345 and 83355?

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 83345 and 83355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83345 and 83355, than apply into the LCM equation.

GCF(83345,83355) = 5
LCM(83345,83355) = ( 83345 × 83355) / 5
LCM(83345,83355) = 6947222475 / 5
LCM(83345,83355) = 1389444495

Least Common Multiple (LCM) of 83345 and 83355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83345 and 83355. First we will calculate the prime factors of 83345 and 83355.

Prime Factorization of 83345

Prime Factorization of 83355

Now multiplying the highest exponent prime factors to calculate the LCM of 83345 and 83355.

LCM(83345,83355) = 5¹ × 79¹ × 211¹ × 3¹ × 5557¹
LCM(83345,83355) = 1389444495