What is the Least Common Multiple of 58776 and 58784?

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 58776 and 58784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58776 and 58784, than apply into the LCM equation.

GCF(58776,58784) = 8
LCM(58776,58784) = ( 58776 × 58784) / 8
LCM(58776,58784) = 3455088384 / 8
LCM(58776,58784) = 431886048

Least Common Multiple (LCM) of 58776 and 58784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58776 and 58784. First we will calculate the prime factors of 58776 and 58784.

Prime Factorization of 58776

Prime Factorization of 58784

Now multiplying the highest exponent prime factors to calculate the LCM of 58776 and 58784.

LCM(58776,58784) = 2⁵ × 3¹ × 31¹ × 79¹ × 11¹ × 167¹
LCM(58776,58784) = 431886048