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What is the Least Common Multiple of 15650 and 15665?

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 15650 and 15665 is 49031450.

LCM(15650,15665) = 49031450

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Least Common Multiple of 15650 and 15665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15650 and 15665, than apply into the LCM equation.

GCF(15650,15665) = 5
LCM(15650,15665) = ( 15650 × 15665) / 5
LCM(15650,15665) = 245157250 / 5
LCM(15650,15665) = 49031450

Least Common Multiple (LCM) of 15650 and 15665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15650 and 15665. First we will calculate the prime factors of 15650 and 15665.

Prime Factorization of 15650

Prime factors of 15650 are 2, 5, 313. Prime factorization of 15650 in exponential form is:

15650 = 21 × 52 × 3131

Prime Factorization of 15665

Prime factors of 15665 are 5, 13, 241. Prime factorization of 15665 in exponential form is:

15665 = 51 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 15650 and 15665.

LCM(15650,15665) = 21 × 52 × 3131 × 131 × 2411
LCM(15650,15665) = 49031450