What is the Least Common Multiple of 93480 and 93499?

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 93499 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 93499, than apply into the LCM equation.

GCF(93480,93499) = 19
LCM(93480,93499) = ( 93480 × 93499) / 19
LCM(93480,93499) = 8740286520 / 19
LCM(93480,93499) = 460015080

Least Common Multiple (LCM) of 93480 and 93499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93480 and 93499. First we will calculate the prime factors of 93480 and 93499.

Prime Factorization of 93480

Prime Factorization of 93499

Now multiplying the highest exponent prime factors to calculate the LCM of 93480 and 93499.

LCM(93480,93499) = 2³ × 3¹ × 5¹ × 19² × 41¹ × 7¹ × 37¹
LCM(93480,93499) = 460015080