What is the Least Common Multiple of 36419 and 36436?

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 36419 and 36436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36419 and 36436, than apply into the LCM equation.

GCF(36419,36436) = 1
LCM(36419,36436) = ( 36419 × 36436) / 1
LCM(36419,36436) = 1326962684 / 1
LCM(36419,36436) = 1326962684

Least Common Multiple (LCM) of 36419 and 36436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36419 and 36436. First we will calculate the prime factors of 36419 and 36436.

Prime Factorization of 36419

Prime Factorization of 36436

Now multiplying the highest exponent prime factors to calculate the LCM of 36419 and 36436.

LCM(36419,36436) = 79¹ × 461¹ × 2² × 9109¹
LCM(36419,36436) = 1326962684