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What is the Least Common Multiple of 66424 and 66440?

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 66424 and 66440 is 551651320.

LCM(66424,66440) = 551651320

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Least Common Multiple of 66424 and 66440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66424 and 66440, than apply into the LCM equation.

GCF(66424,66440) = 8
LCM(66424,66440) = ( 66424 × 66440) / 8
LCM(66424,66440) = 4413210560 / 8
LCM(66424,66440) = 551651320

Least Common Multiple (LCM) of 66424 and 66440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66424 and 66440. First we will calculate the prime factors of 66424 and 66440.

Prime Factorization of 66424

Prime factors of 66424 are 2, 19, 23. Prime factorization of 66424 in exponential form is:

66424 = 23 × 192 × 231

Prime Factorization of 66440

Prime factors of 66440 are 2, 5, 11, 151. Prime factorization of 66440 in exponential form is:

66440 = 23 × 51 × 111 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 66424 and 66440.

LCM(66424,66440) = 23 × 192 × 231 × 51 × 111 × 1511
LCM(66424,66440) = 551651320