What is the Least Common Multiple of 58776 and 58782?

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 58782 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 58782, than apply into the LCM equation.

GCF(58776,58782) = 6
LCM(58776,58782) = ( 58776 × 58782) / 6
LCM(58776,58782) = 3454970832 / 6
LCM(58776,58782) = 575828472

Least Common Multiple (LCM) of 58776 and 58782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58776 and 58782. First we will calculate the prime factors of 58776 and 58782.

Prime Factorization of 58776

Prime Factorization of 58782

Now multiplying the highest exponent prime factors to calculate the LCM of 58776 and 58782.

LCM(58776,58782) = 2³ × 3¹ × 31¹ × 79¹ × 97¹ × 101¹
LCM(58776,58782) = 575828472