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What is the Least Common Multiple of 15292 and 15303?

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 15292 and 15303 is 234013476.

LCM(15292,15303) = 234013476

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Least Common Multiple of 15292 and 15303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15292 and 15303, than apply into the LCM equation.

GCF(15292,15303) = 1
LCM(15292,15303) = ( 15292 × 15303) / 1
LCM(15292,15303) = 234013476 / 1
LCM(15292,15303) = 234013476

Least Common Multiple (LCM) of 15292 and 15303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15292 and 15303. First we will calculate the prime factors of 15292 and 15303.

Prime Factorization of 15292

Prime factors of 15292 are 2, 3823. Prime factorization of 15292 in exponential form is:

15292 = 22 × 38231

Prime Factorization of 15303

Prime factors of 15303 are 3, 5101. Prime factorization of 15303 in exponential form is:

15303 = 31 × 51011

Now multiplying the highest exponent prime factors to calculate the LCM of 15292 and 15303.

LCM(15292,15303) = 22 × 38231 × 31 × 51011
LCM(15292,15303) = 234013476