What is the Least Common Multiple of 83360 and 83373?

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 83360 and 83373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83360 and 83373, than apply into the LCM equation.

GCF(83360,83373) = 1
LCM(83360,83373) = ( 83360 × 83373) / 1
LCM(83360,83373) = 6949973280 / 1
LCM(83360,83373) = 6949973280

Least Common Multiple (LCM) of 83360 and 83373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83360 and 83373. First we will calculate the prime factors of 83360 and 83373.

Prime Factorization of 83360

Prime Factorization of 83373

Now multiplying the highest exponent prime factors to calculate the LCM of 83360 and 83373.

LCM(83360,83373) = 2⁵ × 5¹ × 521¹ × 3¹ × 27791¹
LCM(83360,83373) = 6949973280