What is the Least Common Multiple of 75830 and 75845?

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 75830 and 75845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75830 and 75845, than apply into the LCM equation.

GCF(75830,75845) = 5
LCM(75830,75845) = ( 75830 × 75845) / 5
LCM(75830,75845) = 5751326350 / 5
LCM(75830,75845) = 1150265270

Least Common Multiple (LCM) of 75830 and 75845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75830 and 75845. First we will calculate the prime factors of 75830 and 75845.

Prime Factorization of 75830

Prime Factorization of 75845

Now multiplying the highest exponent prime factors to calculate the LCM of 75830 and 75845.

LCM(75830,75845) = 2¹ × 5¹ × 7583¹ × 7¹ × 11¹ × 197¹
LCM(75830,75845) = 1150265270