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What is the Least Common Multiple of 48907 and 48922?

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 48907 and 48922 is 2392628254.

LCM(48907,48922) = 2392628254

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Least Common Multiple of 48907 and 48922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48907 and 48922, than apply into the LCM equation.

GCF(48907,48922) = 1
LCM(48907,48922) = ( 48907 × 48922) / 1
LCM(48907,48922) = 2392628254 / 1
LCM(48907,48922) = 2392628254

Least Common Multiple (LCM) of 48907 and 48922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48907 and 48922. First we will calculate the prime factors of 48907 and 48922.

Prime Factorization of 48907

Prime factors of 48907 are 48907. Prime factorization of 48907 in exponential form is:

48907 = 489071

Prime Factorization of 48922

Prime factors of 48922 are 2, 61, 401. Prime factorization of 48922 in exponential form is:

48922 = 21 × 611 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 48907 and 48922.

LCM(48907,48922) = 489071 × 21 × 611 × 4011
LCM(48907,48922) = 2392628254