What is the Least Common Multiple of 83475 and 83484?

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 83484 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 83484, than apply into the LCM equation.

GCF(83475,83484) = 9
LCM(83475,83484) = ( 83475 × 83484) / 9
LCM(83475,83484) = 6968826900 / 9
LCM(83475,83484) = 774314100

Least Common Multiple (LCM) of 83475 and 83484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83475 and 83484. First we will calculate the prime factors of 83475 and 83484.

Prime Factorization of 83475

Prime Factorization of 83484

Now multiplying the highest exponent prime factors to calculate the LCM of 83475 and 83484.

LCM(83475,83484) = 3³ × 5² × 7¹ × 53¹ × 2² × 773¹
LCM(83475,83484) = 774314100