What is the Least Common Multiple of 36119 and 36138?

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 36119 and 36138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36119 and 36138, than apply into the LCM equation.

GCF(36119,36138) = 19
LCM(36119,36138) = ( 36119 × 36138) / 19
LCM(36119,36138) = 1305268422 / 19
LCM(36119,36138) = 68698338

Least Common Multiple (LCM) of 36119 and 36138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36119 and 36138. First we will calculate the prime factors of 36119 and 36138.

Prime Factorization of 36119

Prime Factorization of 36138

Now multiplying the highest exponent prime factors to calculate the LCM of 36119 and 36138.

LCM(36119,36138) = 19¹ × 1901¹ × 2¹ × 3¹ × 317¹
LCM(36119,36138) = 68698338