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What is the Least Common Multiple of 10044 and 10062?

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 10044 and 10062 is 5614596.

LCM(10044,10062) = 5614596

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Least Common Multiple of 10044 and 10062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10044 and 10062, than apply into the LCM equation.

GCF(10044,10062) = 18
LCM(10044,10062) = ( 10044 × 10062) / 18
LCM(10044,10062) = 101062728 / 18
LCM(10044,10062) = 5614596

Least Common Multiple (LCM) of 10044 and 10062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10044 and 10062. First we will calculate the prime factors of 10044 and 10062.

Prime Factorization of 10044

Prime factors of 10044 are 2, 3, 31. Prime factorization of 10044 in exponential form is:

10044 = 22 × 34 × 311

Prime Factorization of 10062

Prime factors of 10062 are 2, 3, 13, 43. Prime factorization of 10062 in exponential form is:

10062 = 21 × 32 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 10044 and 10062.

LCM(10044,10062) = 22 × 34 × 311 × 131 × 431
LCM(10044,10062) = 5614596