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What is the Least Common Multiple of 48039 and 48057?

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 48039 and 48057 is 769536741.

LCM(48039,48057) = 769536741

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Least Common Multiple of 48039 and 48057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48039 and 48057, than apply into the LCM equation.

GCF(48039,48057) = 3
LCM(48039,48057) = ( 48039 × 48057) / 3
LCM(48039,48057) = 2308610223 / 3
LCM(48039,48057) = 769536741

Least Common Multiple (LCM) of 48039 and 48057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48039 and 48057. First we will calculate the prime factors of 48039 and 48057.

Prime Factorization of 48039

Prime factors of 48039 are 3, 67, 239. Prime factorization of 48039 in exponential form is:

48039 = 31 × 671 × 2391

Prime Factorization of 48057

Prime factors of 48057 are 3, 83, 193. Prime factorization of 48057 in exponential form is:

48057 = 31 × 831 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 48039 and 48057.

LCM(48039,48057) = 31 × 671 × 2391 × 831 × 1931
LCM(48039,48057) = 769536741