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What is the Least Common Multiple of 43048 and 43067?

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 43048 and 43067 is 1853948216.

LCM(43048,43067) = 1853948216

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Least Common Multiple of 43048 and 43067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43048 and 43067, than apply into the LCM equation.

GCF(43048,43067) = 1
LCM(43048,43067) = ( 43048 × 43067) / 1
LCM(43048,43067) = 1853948216 / 1
LCM(43048,43067) = 1853948216

Least Common Multiple (LCM) of 43048 and 43067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43048 and 43067. First we will calculate the prime factors of 43048 and 43067.

Prime Factorization of 43048

Prime factors of 43048 are 2, 5381. Prime factorization of 43048 in exponential form is:

43048 = 23 × 53811

Prime Factorization of 43067

Prime factors of 43067 are 43067. Prime factorization of 43067 in exponential form is:

43067 = 430671

Now multiplying the highest exponent prime factors to calculate the LCM of 43048 and 43067.

LCM(43048,43067) = 23 × 53811 × 430671
LCM(43048,43067) = 1853948216