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What is the Least Common Multiple of 93522 and 93529?

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 93529 is 8747019138.

LCM(93522,93529) = 8747019138

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Least Common Multiple of 93522 and 93529 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 93529, than apply into the LCM equation.

GCF(93522,93529) = 1
LCM(93522,93529) = ( 93522 × 93529) / 1
LCM(93522,93529) = 8747019138 / 1
LCM(93522,93529) = 8747019138

Least Common Multiple (LCM) of 93522 and 93529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93522 and 93529. First we will calculate the prime factors of 93522 and 93529.

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 93529

Prime factors of 93529 are 93529. Prime factorization of 93529 in exponential form is:

93529 = 935291

Now multiplying the highest exponent prime factors to calculate the LCM of 93522 and 93529.

LCM(93522,93529) = 21 × 31 × 111 × 131 × 1091 × 935291
LCM(93522,93529) = 8747019138