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What is the Least Common Multiple of 8436 and 8440?

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 (LCM) of 8436 and 8440 is 17799960.

LCM(8436,8440) = 17799960

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Least Common Multiple of 8436 and 8440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8436 and 8440, than apply into the LCM equation.

GCF(8436,8440) = 4
LCM(8436,8440) = ( 8436 × 8440) / 4
LCM(8436,8440) = 71199840 / 4
LCM(8436,8440) = 17799960

Least Common Multiple (LCM) of 8436 and 8440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8436 and 8440. First we will calculate the prime factors of 8436 and 8440.

Prime Factorization of 8436

Prime factors of 8436 are 2, 3, 19, 37. Prime factorization of 8436 in exponential form is:

8436 = 22 × 31 × 191 × 371

Prime Factorization of 8440

Prime factors of 8440 are 2, 5, 211. Prime factorization of 8440 in exponential form is:

8440 = 23 × 51 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8436 and 8440.

LCM(8436,8440) = 23 × 31 × 191 × 371 × 51 × 2111
LCM(8436,8440) = 17799960