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What is the Least Common Multiple of 15155 and 15160?

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 15155 and 15160 is 45949960.

LCM(15155,15160) = 45949960

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Least Common Multiple of 15155 and 15160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15155 and 15160, than apply into the LCM equation.

GCF(15155,15160) = 5
LCM(15155,15160) = ( 15155 × 15160) / 5
LCM(15155,15160) = 229749800 / 5
LCM(15155,15160) = 45949960

Least Common Multiple (LCM) of 15155 and 15160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15155 and 15160. First we will calculate the prime factors of 15155 and 15160.

Prime Factorization of 15155

Prime factors of 15155 are 5, 7, 433. Prime factorization of 15155 in exponential form is:

15155 = 51 × 71 × 4331

Prime Factorization of 15160

Prime factors of 15160 are 2, 5, 379. Prime factorization of 15160 in exponential form is:

15160 = 23 × 51 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 15155 and 15160.

LCM(15155,15160) = 51 × 71 × 4331 × 23 × 3791
LCM(15155,15160) = 45949960