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What is the Least Common Multiple of 68424 and 68443?

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 68424 and 68443 is 4683143832.

LCM(68424,68443) = 4683143832

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Least Common Multiple of 68424 and 68443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68424 and 68443, than apply into the LCM equation.

GCF(68424,68443) = 1
LCM(68424,68443) = ( 68424 × 68443) / 1
LCM(68424,68443) = 4683143832 / 1
LCM(68424,68443) = 4683143832

Least Common Multiple (LCM) of 68424 and 68443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68424 and 68443. First we will calculate the prime factors of 68424 and 68443.

Prime Factorization of 68424

Prime factors of 68424 are 2, 3, 2851. Prime factorization of 68424 in exponential form is:

68424 = 23 × 31 × 28511

Prime Factorization of 68443

Prime factors of 68443 are 68443. Prime factorization of 68443 in exponential form is:

68443 = 684431

Now multiplying the highest exponent prime factors to calculate the LCM of 68424 and 68443.

LCM(68424,68443) = 23 × 31 × 28511 × 684431
LCM(68424,68443) = 4683143832