What is the Least Common Multiple of 58485 and 58496?

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 58485 and 58496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58485 and 58496, than apply into the LCM equation.

GCF(58485,58496) = 1
LCM(58485,58496) = ( 58485 × 58496) / 1
LCM(58485,58496) = 3421138560 / 1
LCM(58485,58496) = 3421138560

Least Common Multiple (LCM) of 58485 and 58496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58485 and 58496. First we will calculate the prime factors of 58485 and 58496.

Prime Factorization of 58485

Prime Factorization of 58496

Now multiplying the highest exponent prime factors to calculate the LCM of 58485 and 58496.

LCM(58485,58496) = 3¹ × 5¹ × 7¹ × 557¹ × 2⁷ × 457¹
LCM(58485,58496) = 3421138560