What is the Least Common Multiple of 58775 and 58780?

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 58775 and 58780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58775 and 58780, than apply into the LCM equation.

GCF(58775,58780) = 5
LCM(58775,58780) = ( 58775 × 58780) / 5
LCM(58775,58780) = 3454794500 / 5
LCM(58775,58780) = 690958900

Least Common Multiple (LCM) of 58775 and 58780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58775 and 58780. First we will calculate the prime factors of 58775 and 58780.

Prime Factorization of 58775

Prime Factorization of 58780

Now multiplying the highest exponent prime factors to calculate the LCM of 58775 and 58780.

LCM(58775,58780) = 5² × 2351¹ × 2² × 2939¹
LCM(58775,58780) = 690958900