What is the Least Common Multiple of 36825 and 36835?

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 36825 and 36835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36825 and 36835, than apply into the LCM equation.

GCF(36825,36835) = 5
LCM(36825,36835) = ( 36825 × 36835) / 5
LCM(36825,36835) = 1356448875 / 5
LCM(36825,36835) = 271289775

Least Common Multiple (LCM) of 36825 and 36835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36825 and 36835. First we will calculate the prime factors of 36825 and 36835.

Prime Factorization of 36825

Prime Factorization of 36835

Now multiplying the highest exponent prime factors to calculate the LCM of 36825 and 36835.

LCM(36825,36835) = 3¹ × 5² × 491¹ × 53¹ × 139¹
LCM(36825,36835) = 271289775