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What is the Least Common Multiple of 15437 and 15446?

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 15437 and 15446 is 238439902.

LCM(15437,15446) = 238439902

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Least Common Multiple of 15437 and 15446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15437 and 15446, than apply into the LCM equation.

GCF(15437,15446) = 1
LCM(15437,15446) = ( 15437 × 15446) / 1
LCM(15437,15446) = 238439902 / 1
LCM(15437,15446) = 238439902

Least Common Multiple (LCM) of 15437 and 15446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15437 and 15446. First we will calculate the prime factors of 15437 and 15446.

Prime Factorization of 15437

Prime factors of 15437 are 43, 359. Prime factorization of 15437 in exponential form is:

15437 = 431 × 3591

Prime Factorization of 15446

Prime factors of 15446 are 2, 7723. Prime factorization of 15446 in exponential form is:

15446 = 21 × 77231

Now multiplying the highest exponent prime factors to calculate the LCM of 15437 and 15446.

LCM(15437,15446) = 431 × 3591 × 21 × 77231
LCM(15437,15446) = 238439902