What is the Least Common Multiple of 36435 and 36442?

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 36435 and 36442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36435 and 36442, than apply into the LCM equation.

GCF(36435,36442) = 7
LCM(36435,36442) = ( 36435 × 36442) / 7
LCM(36435,36442) = 1327764270 / 7
LCM(36435,36442) = 189680610

Least Common Multiple (LCM) of 36435 and 36442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36435 and 36442. First we will calculate the prime factors of 36435 and 36442.

Prime Factorization of 36435

Prime Factorization of 36442

Now multiplying the highest exponent prime factors to calculate the LCM of 36435 and 36442.

LCM(36435,36442) = 3¹ × 5¹ × 7¹ × 347¹ × 2¹ × 19¹ × 137¹
LCM(36435,36442) = 189680610