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What is the Least Common Multiple of 48215 and 48232?

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 48215 and 48232 is 2325505880.

LCM(48215,48232) = 2325505880

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Least Common Multiple of 48215 and 48232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48215 and 48232, than apply into the LCM equation.

GCF(48215,48232) = 1
LCM(48215,48232) = ( 48215 × 48232) / 1
LCM(48215,48232) = 2325505880 / 1
LCM(48215,48232) = 2325505880

Least Common Multiple (LCM) of 48215 and 48232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48215 and 48232. First we will calculate the prime factors of 48215 and 48232.

Prime Factorization of 48215

Prime factors of 48215 are 5, 9643. Prime factorization of 48215 in exponential form is:

48215 = 51 × 96431

Prime Factorization of 48232

Prime factors of 48232 are 2, 6029. Prime factorization of 48232 in exponential form is:

48232 = 23 × 60291

Now multiplying the highest exponent prime factors to calculate the LCM of 48215 and 48232.

LCM(48215,48232) = 51 × 96431 × 23 × 60291
LCM(48215,48232) = 2325505880