What is the Least Common Multiple of 93480 and 93498?

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 93480 and 93498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93480 and 93498, than apply into the LCM equation.

GCF(93480,93498) = 6
LCM(93480,93498) = ( 93480 × 93498) / 6
LCM(93480,93498) = 8740193040 / 6
LCM(93480,93498) = 1456698840

Least Common Multiple (LCM) of 93480 and 93498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93480 and 93498. First we will calculate the prime factors of 93480 and 93498.

Prime Factorization of 93480

Prime Factorization of 93498

Now multiplying the highest exponent prime factors to calculate the LCM of 93480 and 93498.

LCM(93480,93498) = 2³ × 3¹ × 5¹ × 19¹ × 41¹ × 15583¹
LCM(93480,93498) = 1456698840