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What is the Least Common Multiple of 43379 and 43393?

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 43379 and 43393 is 268906421.

LCM(43379,43393) = 268906421

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Least Common Multiple of 43379 and 43393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43379 and 43393, than apply into the LCM equation.

GCF(43379,43393) = 7
LCM(43379,43393) = ( 43379 × 43393) / 7
LCM(43379,43393) = 1882344947 / 7
LCM(43379,43393) = 268906421

Least Common Multiple (LCM) of 43379 and 43393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43379 and 43393. First we will calculate the prime factors of 43379 and 43393.

Prime Factorization of 43379

Prime factors of 43379 are 7, 6197. Prime factorization of 43379 in exponential form is:

43379 = 71 × 61971

Prime Factorization of 43393

Prime factors of 43393 are 7, 6199. Prime factorization of 43393 in exponential form is:

43393 = 71 × 61991

Now multiplying the highest exponent prime factors to calculate the LCM of 43379 and 43393.

LCM(43379,43393) = 71 × 61971 × 61991
LCM(43379,43393) = 268906421