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What is the Least Common Multiple of 48955 and 48963?

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 48955 and 48963 is 2396983665.

LCM(48955,48963) = 2396983665

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Least Common Multiple of 48955 and 48963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48955 and 48963, than apply into the LCM equation.

GCF(48955,48963) = 1
LCM(48955,48963) = ( 48955 × 48963) / 1
LCM(48955,48963) = 2396983665 / 1
LCM(48955,48963) = 2396983665

Least Common Multiple (LCM) of 48955 and 48963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48955 and 48963. First we will calculate the prime factors of 48955 and 48963.

Prime Factorization of 48955

Prime factors of 48955 are 5, 9791. Prime factorization of 48955 in exponential form is:

48955 = 51 × 97911

Prime Factorization of 48963

Prime factors of 48963 are 3, 19, 859. Prime factorization of 48963 in exponential form is:

48963 = 31 × 191 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 48955 and 48963.

LCM(48955,48963) = 51 × 97911 × 31 × 191 × 8591
LCM(48955,48963) = 2396983665