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What is the Least Common Multiple of 47920 and 47927?

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 47920 and 47927 is 2296661840.

LCM(47920,47927) = 2296661840

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Least Common Multiple of 47920 and 47927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47920 and 47927, than apply into the LCM equation.

GCF(47920,47927) = 1
LCM(47920,47927) = ( 47920 × 47927) / 1
LCM(47920,47927) = 2296661840 / 1
LCM(47920,47927) = 2296661840

Least Common Multiple (LCM) of 47920 and 47927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47920 and 47927. First we will calculate the prime factors of 47920 and 47927.

Prime Factorization of 47920

Prime factors of 47920 are 2, 5, 599. Prime factorization of 47920 in exponential form is:

47920 = 24 × 51 × 5991

Prime Factorization of 47927

Prime factors of 47927 are 11, 4357. Prime factorization of 47927 in exponential form is:

47927 = 111 × 43571

Now multiplying the highest exponent prime factors to calculate the LCM of 47920 and 47927.

LCM(47920,47927) = 24 × 51 × 5991 × 111 × 43571
LCM(47920,47927) = 2296661840