What is the Least Common Multiple of 83445 and 83451?

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 83445 and 83451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83445 and 83451, than apply into the LCM equation.

GCF(83445,83451) = 3
LCM(83445,83451) = ( 83445 × 83451) / 3
LCM(83445,83451) = 6963568695 / 3
LCM(83445,83451) = 2321189565

Least Common Multiple (LCM) of 83445 and 83451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83445 and 83451. First we will calculate the prime factors of 83445 and 83451.

Prime Factorization of 83445

Prime Factorization of 83451

Now multiplying the highest exponent prime factors to calculate the LCM of 83445 and 83451.

LCM(83445,83451) = 3¹ × 5¹ × 5563¹ × 27817¹
LCM(83445,83451) = 2321189565