What is the Least Common Multiple of 58880 and 58894?

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 58880 and 58894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58880 and 58894, than apply into the LCM equation.

GCF(58880,58894) = 2
LCM(58880,58894) = ( 58880 × 58894) / 2
LCM(58880,58894) = 3467678720 / 2
LCM(58880,58894) = 1733839360

Least Common Multiple (LCM) of 58880 and 58894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58880 and 58894. First we will calculate the prime factors of 58880 and 58894.

Prime Factorization of 58880

Prime Factorization of 58894

Now multiplying the highest exponent prime factors to calculate the LCM of 58880 and 58894.

LCM(58880,58894) = 2⁹ × 5¹ × 23¹ × 11¹ × 2677¹
LCM(58880,58894) = 1733839360