What is the Least Common Multiple of 83480 and 83485?

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 83480 and 83485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83480 and 83485, than apply into the LCM equation.

GCF(83480,83485) = 5
LCM(83480,83485) = ( 83480 × 83485) / 5
LCM(83480,83485) = 6969327800 / 5
LCM(83480,83485) = 1393865560

Least Common Multiple (LCM) of 83480 and 83485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83480 and 83485. First we will calculate the prime factors of 83480 and 83485.

Prime Factorization of 83480

Prime Factorization of 83485

Now multiplying the highest exponent prime factors to calculate the LCM of 83480 and 83485.

LCM(83480,83485) = 2³ × 5¹ × 2087¹ × 59¹ × 283¹
LCM(83480,83485) = 1393865560