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What is the Least Common Multiple of 93416 and 93436?

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 93416 and 93436 is 2182104344.

LCM(93416,93436) = 2182104344

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Least Common Multiple of 93416 and 93436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93416 and 93436, than apply into the LCM equation.

GCF(93416,93436) = 4
LCM(93416,93436) = ( 93416 × 93436) / 4
LCM(93416,93436) = 8728417376 / 4
LCM(93416,93436) = 2182104344

Least Common Multiple (LCM) of 93416 and 93436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93416 and 93436. First we will calculate the prime factors of 93416 and 93436.

Prime Factorization of 93416

Prime factors of 93416 are 2, 11677. Prime factorization of 93416 in exponential form is:

93416 = 23 × 116771

Prime Factorization of 93436

Prime factors of 93436 are 2, 7, 47, 71. Prime factorization of 93436 in exponential form is:

93436 = 22 × 71 × 471 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 93416 and 93436.

LCM(93416,93436) = 23 × 116771 × 71 × 471 × 711
LCM(93416,93436) = 2182104344