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What is the Least Common Multiple of 48591 and 48597?

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 48591 and 48597 is 787125609.

LCM(48591,48597) = 787125609

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Least Common Multiple of 48591 and 48597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48591 and 48597, than apply into the LCM equation.

GCF(48591,48597) = 3
LCM(48591,48597) = ( 48591 × 48597) / 3
LCM(48591,48597) = 2361376827 / 3
LCM(48591,48597) = 787125609

Least Common Multiple (LCM) of 48591 and 48597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48591 and 48597. First we will calculate the prime factors of 48591 and 48597.

Prime Factorization of 48591

Prime factors of 48591 are 3, 5399. Prime factorization of 48591 in exponential form is:

48591 = 32 × 53991

Prime Factorization of 48597

Prime factors of 48597 are 3, 97, 167. Prime factorization of 48597 in exponential form is:

48597 = 31 × 971 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 48591 and 48597.

LCM(48591,48597) = 32 × 53991 × 971 × 1671
LCM(48591,48597) = 787125609