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What is the Least Common Multiple of 93140 and 93153?

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 93140 and 93153 is 8676270420.

LCM(93140,93153) = 8676270420

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Least Common Multiple of 93140 and 93153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93140 and 93153, than apply into the LCM equation.

GCF(93140,93153) = 1
LCM(93140,93153) = ( 93140 × 93153) / 1
LCM(93140,93153) = 8676270420 / 1
LCM(93140,93153) = 8676270420

Least Common Multiple (LCM) of 93140 and 93153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93140 and 93153. First we will calculate the prime factors of 93140 and 93153.

Prime Factorization of 93140

Prime factors of 93140 are 2, 5, 4657. Prime factorization of 93140 in exponential form is:

93140 = 22 × 51 × 46571

Prime Factorization of 93153

Prime factors of 93153 are 3, 31051. Prime factorization of 93153 in exponential form is:

93153 = 31 × 310511

Now multiplying the highest exponent prime factors to calculate the LCM of 93140 and 93153.

LCM(93140,93153) = 22 × 51 × 46571 × 31 × 310511
LCM(93140,93153) = 8676270420