What is the Least Common Multiple of 83490 and 83501?

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 83490 and 83501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83490 and 83501, than apply into the LCM equation.

GCF(83490,83501) = 11
LCM(83490,83501) = ( 83490 × 83501) / 11
LCM(83490,83501) = 6971498490 / 11
LCM(83490,83501) = 633772590

Least Common Multiple (LCM) of 83490 and 83501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83490 and 83501. First we will calculate the prime factors of 83490 and 83501.

Prime Factorization of 83490

Prime Factorization of 83501

Now multiplying the highest exponent prime factors to calculate the LCM of 83490 and 83501.

LCM(83490,83501) = 2¹ × 3¹ × 5¹ × 11² × 23¹ × 7591¹
LCM(83490,83501) = 633772590