What is the Least Common Multiple of 32825 and 32845?

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 32825 and 32845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32825 and 32845, than apply into the LCM equation.

GCF(32825,32845) = 5
LCM(32825,32845) = ( 32825 × 32845) / 5
LCM(32825,32845) = 1078137125 / 5
LCM(32825,32845) = 215627425

Least Common Multiple (LCM) of 32825 and 32845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32825 and 32845. First we will calculate the prime factors of 32825 and 32845.

Prime Factorization of 32825

Prime Factorization of 32845

Now multiplying the highest exponent prime factors to calculate the LCM of 32825 and 32845.

LCM(32825,32845) = 5² × 13¹ × 101¹ × 6569¹
LCM(32825,32845) = 215627425