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What is the Least Common Multiple of 48913 and 48921?

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 48913 and 48921 is 2392872873.

LCM(48913,48921) = 2392872873

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Least Common Multiple of 48913 and 48921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48913 and 48921, than apply into the LCM equation.

GCF(48913,48921) = 1
LCM(48913,48921) = ( 48913 × 48921) / 1
LCM(48913,48921) = 2392872873 / 1
LCM(48913,48921) = 2392872873

Least Common Multiple (LCM) of 48913 and 48921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48913 and 48921. First we will calculate the prime factors of 48913 and 48921.

Prime Factorization of 48913

Prime factors of 48913 are 41, 1193. Prime factorization of 48913 in exponential form is:

48913 = 411 × 11931

Prime Factorization of 48921

Prime factors of 48921 are 3, 23, 709. Prime factorization of 48921 in exponential form is:

48921 = 31 × 231 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 48913 and 48921.

LCM(48913,48921) = 411 × 11931 × 31 × 231 × 7091
LCM(48913,48921) = 2392872873