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What is the Least Common Multiple of 67437 and 67443?

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 67437 and 67443 is 1516051197.

LCM(67437,67443) = 1516051197

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Least Common Multiple of 67437 and 67443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67437 and 67443, than apply into the LCM equation.

GCF(67437,67443) = 3
LCM(67437,67443) = ( 67437 × 67443) / 3
LCM(67437,67443) = 4548153591 / 3
LCM(67437,67443) = 1516051197

Least Common Multiple (LCM) of 67437 and 67443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67437 and 67443. First we will calculate the prime factors of 67437 and 67443.

Prime Factorization of 67437

Prime factors of 67437 are 3, 59, 127. Prime factorization of 67437 in exponential form is:

67437 = 32 × 591 × 1271

Prime Factorization of 67443

Prime factors of 67443 are 3, 22481. Prime factorization of 67443 in exponential form is:

67443 = 31 × 224811

Now multiplying the highest exponent prime factors to calculate the LCM of 67437 and 67443.

LCM(67437,67443) = 32 × 591 × 1271 × 224811
LCM(67437,67443) = 1516051197