What is the Least Common Multiple of 83476 and 83480?

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 83476 and 83480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83476 and 83480, than apply into the LCM equation.

GCF(83476,83480) = 4
LCM(83476,83480) = ( 83476 × 83480) / 4
LCM(83476,83480) = 6968576480 / 4
LCM(83476,83480) = 1742144120

Least Common Multiple (LCM) of 83476 and 83480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83476 and 83480. First we will calculate the prime factors of 83476 and 83480.

Prime Factorization of 83476

Prime Factorization of 83480

Now multiplying the highest exponent prime factors to calculate the LCM of 83476 and 83480.

LCM(83476,83480) = 2³ × 41¹ × 509¹ × 5¹ × 2087¹
LCM(83476,83480) = 1742144120