What is the Least Common Multiple of 36405 and 36416?

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 36405 and 36416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36405 and 36416, than apply into the LCM equation.

GCF(36405,36416) = 1
LCM(36405,36416) = ( 36405 × 36416) / 1
LCM(36405,36416) = 1325724480 / 1
LCM(36405,36416) = 1325724480

Least Common Multiple (LCM) of 36405 and 36416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36405 and 36416. First we will calculate the prime factors of 36405 and 36416.

Prime Factorization of 36405

Prime Factorization of 36416

Now multiplying the highest exponent prime factors to calculate the LCM of 36405 and 36416.

LCM(36405,36416) = 3² × 5¹ × 809¹ × 2⁶ × 569¹
LCM(36405,36416) = 1325724480