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What is the Least Common Multiple of 15495 and 15502?

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 15495 and 15502 is 240203490.

LCM(15495,15502) = 240203490

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Least Common Multiple of 15495 and 15502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15495 and 15502, than apply into the LCM equation.

GCF(15495,15502) = 1
LCM(15495,15502) = ( 15495 × 15502) / 1
LCM(15495,15502) = 240203490 / 1
LCM(15495,15502) = 240203490

Least Common Multiple (LCM) of 15495 and 15502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15495 and 15502. First we will calculate the prime factors of 15495 and 15502.

Prime Factorization of 15495

Prime factors of 15495 are 3, 5, 1033. Prime factorization of 15495 in exponential form is:

15495 = 31 × 51 × 10331

Prime Factorization of 15502

Prime factors of 15502 are 2, 23, 337. Prime factorization of 15502 in exponential form is:

15502 = 21 × 231 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 15495 and 15502.

LCM(15495,15502) = 31 × 51 × 10331 × 21 × 231 × 3371
LCM(15495,15502) = 240203490