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What is the Least Common Multiple of 93153 and 93159?

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 93153 and 93159 is 2892680109.

LCM(93153,93159) = 2892680109

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Least Common Multiple of 93153 and 93159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93153 and 93159, than apply into the LCM equation.

GCF(93153,93159) = 3
LCM(93153,93159) = ( 93153 × 93159) / 3
LCM(93153,93159) = 8678040327 / 3
LCM(93153,93159) = 2892680109

Least Common Multiple (LCM) of 93153 and 93159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93153 and 93159. First we will calculate the prime factors of 93153 and 93159.

Prime Factorization of 93153

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

93153 = 31 × 310511

Prime Factorization of 93159

Prime factors of 93159 are 3, 11, 941. Prime factorization of 93159 in exponential form is:

93159 = 32 × 111 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 93153 and 93159.

LCM(93153,93159) = 32 × 310511 × 111 × 9411
LCM(93153,93159) = 2892680109