What is the Least Common Multiple of 36100 and 36119?

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 36100 and 36119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36100 and 36119, than apply into the LCM equation.

GCF(36100,36119) = 19
LCM(36100,36119) = ( 36100 × 36119) / 19
LCM(36100,36119) = 1303895900 / 19
LCM(36100,36119) = 68626100

Least Common Multiple (LCM) of 36100 and 36119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36100 and 36119. First we will calculate the prime factors of 36100 and 36119.

Prime Factorization of 36100

Prime Factorization of 36119

Now multiplying the highest exponent prime factors to calculate the LCM of 36100 and 36119.

LCM(36100,36119) = 2² × 5² × 19² × 1901¹
LCM(36100,36119) = 68626100