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What is the Least Common Multiple of 48721 and 48725?

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 48721 and 48725 is 2373930725.

LCM(48721,48725) = 2373930725

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Least Common Multiple of 48721 and 48725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48721 and 48725, than apply into the LCM equation.

GCF(48721,48725) = 1
LCM(48721,48725) = ( 48721 × 48725) / 1
LCM(48721,48725) = 2373930725 / 1
LCM(48721,48725) = 2373930725

Least Common Multiple (LCM) of 48721 and 48725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48721 and 48725. First we will calculate the prime factors of 48721 and 48725.

Prime Factorization of 48721

Prime factors of 48721 are 83, 587. Prime factorization of 48721 in exponential form is:

48721 = 831 × 5871

Prime Factorization of 48725

Prime factors of 48725 are 5, 1949. Prime factorization of 48725 in exponential form is:

48725 = 52 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 48721 and 48725.

LCM(48721,48725) = 831 × 5871 × 52 × 19491
LCM(48721,48725) = 2373930725