What is the Least Common Multiple of 58280 and 58295?

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 58280 and 58295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58280 and 58295, than apply into the LCM equation.

GCF(58280,58295) = 5
LCM(58280,58295) = ( 58280 × 58295) / 5
LCM(58280,58295) = 3397432600 / 5
LCM(58280,58295) = 679486520

Least Common Multiple (LCM) of 58280 and 58295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58280 and 58295. First we will calculate the prime factors of 58280 and 58295.

Prime Factorization of 58280

Prime Factorization of 58295

Now multiplying the highest exponent prime factors to calculate the LCM of 58280 and 58295.

LCM(58280,58295) = 2³ × 5¹ × 31¹ × 47¹ × 89¹ × 131¹
LCM(58280,58295) = 679486520