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What is the Least Common Multiple of 47914 and 47921?

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 47914 and 47921 is 2296086794.

LCM(47914,47921) = 2296086794

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Least Common Multiple of 47914 and 47921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47914 and 47921, than apply into the LCM equation.

GCF(47914,47921) = 1
LCM(47914,47921) = ( 47914 × 47921) / 1
LCM(47914,47921) = 2296086794 / 1
LCM(47914,47921) = 2296086794

Least Common Multiple (LCM) of 47914 and 47921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47914 and 47921. First we will calculate the prime factors of 47914 and 47921.

Prime Factorization of 47914

Prime factors of 47914 are 2, 23957. Prime factorization of 47914 in exponential form is:

47914 = 21 × 239571

Prime Factorization of 47921

Prime factors of 47921 are 173, 277. Prime factorization of 47921 in exponential form is:

47921 = 1731 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 47914 and 47921.

LCM(47914,47921) = 21 × 239571 × 1731 × 2771
LCM(47914,47921) = 2296086794