What is the Least Common Multiple of 36142 and 36153?

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 36142 and 36153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36142 and 36153, than apply into the LCM equation.

GCF(36142,36153) = 1
LCM(36142,36153) = ( 36142 × 36153) / 1
LCM(36142,36153) = 1306641726 / 1
LCM(36142,36153) = 1306641726

Least Common Multiple (LCM) of 36142 and 36153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36142 and 36153. First we will calculate the prime factors of 36142 and 36153.

Prime Factorization of 36142

Prime Factorization of 36153

Now multiplying the highest exponent prime factors to calculate the LCM of 36142 and 36153.

LCM(36142,36153) = 2¹ × 17¹ × 1063¹ × 3³ × 13¹ × 103¹
LCM(36142,36153) = 1306641726