What is the Least Common Multiple of 83475 and 83490?

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 83475 and 83490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83475 and 83490, than apply into the LCM equation.

GCF(83475,83490) = 15
LCM(83475,83490) = ( 83475 × 83490) / 15
LCM(83475,83490) = 6969327750 / 15
LCM(83475,83490) = 464621850

Least Common Multiple (LCM) of 83475 and 83490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83475 and 83490. First we will calculate the prime factors of 83475 and 83490.

Prime Factorization of 83475

Prime Factorization of 83490

Now multiplying the highest exponent prime factors to calculate the LCM of 83475 and 83490.

LCM(83475,83490) = 3² × 5² × 7¹ × 53¹ × 2¹ × 11² × 23¹
LCM(83475,83490) = 464621850