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What is the Least Common Multiple of 93522 and 93541?

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 93522 and 93541 is 8748141402.

LCM(93522,93541) = 8748141402

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Least Common Multiple of 93522 and 93541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93522 and 93541, than apply into the LCM equation.

GCF(93522,93541) = 1
LCM(93522,93541) = ( 93522 × 93541) / 1
LCM(93522,93541) = 8748141402 / 1
LCM(93522,93541) = 8748141402

Least Common Multiple (LCM) of 93522 and 93541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93522 and 93541. First we will calculate the prime factors of 93522 and 93541.

Prime Factorization of 93522

Prime factors of 93522 are 2, 3, 11, 13, 109. Prime factorization of 93522 in exponential form is:

93522 = 21 × 31 × 111 × 131 × 1091

Prime Factorization of 93541

Prime factors of 93541 are 7, 23, 83. Prime factorization of 93541 in exponential form is:

93541 = 72 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 93522 and 93541.

LCM(93522,93541) = 21 × 31 × 111 × 131 × 1091 × 72 × 231 × 831
LCM(93522,93541) = 8748141402