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What is the Least Common Multiple of 58407 and 58411?

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 58407 and 58411 is 3411611277.

LCM(58407,58411) = 3411611277

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Least Common Multiple of 58407 and 58411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58407 and 58411, than apply into the LCM equation.

GCF(58407,58411) = 1
LCM(58407,58411) = ( 58407 × 58411) / 1
LCM(58407,58411) = 3411611277 / 1
LCM(58407,58411) = 3411611277

Least Common Multiple (LCM) of 58407 and 58411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58407 and 58411. First we will calculate the prime factors of 58407 and 58411.

Prime Factorization of 58407

Prime factors of 58407 are 3, 19469. Prime factorization of 58407 in exponential form is:

58407 = 31 × 194691

Prime Factorization of 58411

Prime factors of 58411 are 58411. Prime factorization of 58411 in exponential form is:

58411 = 584111

Now multiplying the highest exponent prime factors to calculate the LCM of 58407 and 58411.

LCM(58407,58411) = 31 × 194691 × 584111
LCM(58407,58411) = 3411611277