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What is the Least Common Multiple of 87593 and 87603?

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 87593 and 87603 is 7673409579.

LCM(87593,87603) = 7673409579

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Least Common Multiple of 87593 and 87603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87593 and 87603, than apply into the LCM equation.

GCF(87593,87603) = 1
LCM(87593,87603) = ( 87593 × 87603) / 1
LCM(87593,87603) = 7673409579 / 1
LCM(87593,87603) = 7673409579

Least Common Multiple (LCM) of 87593 and 87603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87593 and 87603. First we will calculate the prime factors of 87593 and 87603.

Prime Factorization of 87593

Prime factors of 87593 are 11, 7963. Prime factorization of 87593 in exponential form is:

87593 = 111 × 79631

Prime Factorization of 87603

Prime factors of 87603 are 3, 29201. Prime factorization of 87603 in exponential form is:

87603 = 31 × 292011

Now multiplying the highest exponent prime factors to calculate the LCM of 87593 and 87603.

LCM(87593,87603) = 111 × 79631 × 31 × 292011
LCM(87593,87603) = 7673409579