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What is the Least Common Multiple of 93588 and 93603?

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 93588 and 93603 is 2920039188.

LCM(93588,93603) = 2920039188

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Least Common Multiple of 93588 and 93603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93588 and 93603, than apply into the LCM equation.

GCF(93588,93603) = 3
LCM(93588,93603) = ( 93588 × 93603) / 3
LCM(93588,93603) = 8760117564 / 3
LCM(93588,93603) = 2920039188

Least Common Multiple (LCM) of 93588 and 93603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93588 and 93603. First we will calculate the prime factors of 93588 and 93603.

Prime Factorization of 93588

Prime factors of 93588 are 2, 3, 11, 709. Prime factorization of 93588 in exponential form is:

93588 = 22 × 31 × 111 × 7091

Prime Factorization of 93603

Prime factors of 93603 are 3, 41, 761. Prime factorization of 93603 in exponential form is:

93603 = 31 × 411 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 93588 and 93603.

LCM(93588,93603) = 22 × 31 × 111 × 7091 × 411 × 7611
LCM(93588,93603) = 2920039188