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What is the Least Common Multiple of 15290 and 15305?

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 15290 and 15305 is 46802690.

LCM(15290,15305) = 46802690

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Least Common Multiple of 15290 and 15305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15290 and 15305, than apply into the LCM equation.

GCF(15290,15305) = 5
LCM(15290,15305) = ( 15290 × 15305) / 5
LCM(15290,15305) = 234013450 / 5
LCM(15290,15305) = 46802690

Least Common Multiple (LCM) of 15290 and 15305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15290 and 15305. First we will calculate the prime factors of 15290 and 15305.

Prime Factorization of 15290

Prime factors of 15290 are 2, 5, 11, 139. Prime factorization of 15290 in exponential form is:

15290 = 21 × 51 × 111 × 1391

Prime Factorization of 15305

Prime factors of 15305 are 5, 3061. Prime factorization of 15305 in exponential form is:

15305 = 51 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 15290 and 15305.

LCM(15290,15305) = 21 × 51 × 111 × 1391 × 30611
LCM(15290,15305) = 46802690