What is the Least Common Multiple of 83374 and 83380?

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 83374 and 83380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83374 and 83380, than apply into the LCM equation.

GCF(83374,83380) = 2
LCM(83374,83380) = ( 83374 × 83380) / 2
LCM(83374,83380) = 6951724120 / 2
LCM(83374,83380) = 3475862060

Least Common Multiple (LCM) of 83374 and 83380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83374 and 83380. First we will calculate the prime factors of 83374 and 83380.

Prime Factorization of 83374

Prime Factorization of 83380

Now multiplying the highest exponent prime factors to calculate the LCM of 83374 and 83380.

LCM(83374,83380) = 2² × 41687¹ × 5¹ × 11¹ × 379¹
LCM(83374,83380) = 3475862060