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What is the Least Common Multiple of 48541 and 48556?

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 48541 and 48556 is 2356956796.

LCM(48541,48556) = 2356956796

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Least Common Multiple of 48541 and 48556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48541 and 48556, than apply into the LCM equation.

GCF(48541,48556) = 1
LCM(48541,48556) = ( 48541 × 48556) / 1
LCM(48541,48556) = 2356956796 / 1
LCM(48541,48556) = 2356956796

Least Common Multiple (LCM) of 48541 and 48556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48541 and 48556. First we will calculate the prime factors of 48541 and 48556.

Prime Factorization of 48541

Prime factors of 48541 are 48541. Prime factorization of 48541 in exponential form is:

48541 = 485411

Prime Factorization of 48556

Prime factors of 48556 are 2, 61, 199. Prime factorization of 48556 in exponential form is:

48556 = 22 × 611 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 48541 and 48556.

LCM(48541,48556) = 485411 × 22 × 611 × 1991
LCM(48541,48556) = 2356956796