What is the Least Common Multiple of 58480 and 58490?

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 58480 and 58490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58480 and 58490, than apply into the LCM equation.

GCF(58480,58490) = 10
LCM(58480,58490) = ( 58480 × 58490) / 10
LCM(58480,58490) = 3420495200 / 10
LCM(58480,58490) = 342049520

Least Common Multiple (LCM) of 58480 and 58490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58480 and 58490. First we will calculate the prime factors of 58480 and 58490.

Prime Factorization of 58480

Prime Factorization of 58490

Now multiplying the highest exponent prime factors to calculate the LCM of 58480 and 58490.

LCM(58480,58490) = 2⁴ × 5¹ × 17¹ × 43¹ × 5849¹
LCM(58480,58490) = 342049520