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What is the Least Common Multiple of 67436 and 67440?

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 67436 and 67440 is 1136970960.

LCM(67436,67440) = 1136970960

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Least Common Multiple of 67436 and 67440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67436 and 67440, than apply into the LCM equation.

GCF(67436,67440) = 4
LCM(67436,67440) = ( 67436 × 67440) / 4
LCM(67436,67440) = 4547883840 / 4
LCM(67436,67440) = 1136970960

Least Common Multiple (LCM) of 67436 and 67440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67436 and 67440. First we will calculate the prime factors of 67436 and 67440.

Prime Factorization of 67436

Prime factors of 67436 are 2, 23, 733. Prime factorization of 67436 in exponential form is:

67436 = 22 × 231 × 7331

Prime Factorization of 67440

Prime factors of 67440 are 2, 3, 5, 281. Prime factorization of 67440 in exponential form is:

67440 = 24 × 31 × 51 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 67436 and 67440.

LCM(67436,67440) = 24 × 231 × 7331 × 31 × 51 × 2811
LCM(67436,67440) = 1136970960