What is the Least Common Multiple of 58475 and 58480?

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 58475 and 58480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58475 and 58480, than apply into the LCM equation.

GCF(58475,58480) = 5
LCM(58475,58480) = ( 58475 × 58480) / 5
LCM(58475,58480) = 3419618000 / 5
LCM(58475,58480) = 683923600

Least Common Multiple (LCM) of 58475 and 58480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58475 and 58480. First we will calculate the prime factors of 58475 and 58480.

Prime Factorization of 58475

Prime Factorization of 58480

Now multiplying the highest exponent prime factors to calculate the LCM of 58475 and 58480.

LCM(58475,58480) = 5² × 2339¹ × 2⁴ × 17¹ × 43¹
LCM(58475,58480) = 683923600