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Least Common Multiple of 40 and 47

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 40 and 47 is 1880.

LCM(40,47) = 1880

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Least Common Multiple of 40 and 47 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40 and 47, than apply into the LCM equation.

GCF(40,47) = 1
LCM(40,47) = ( 40 × 47) / 1
LCM(40,47) = 1880 / 1
LCM(40,47) = 1880

Least Common Multiple (LCM) of 40 and 47 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40 and 47. First we will calculate the prime factors of 40 and 47.

Prime Factorization of 40

Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:

40 = 23 × 51

Prime Factorization of 47

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 471

Now multiplying the highest exponent prime factors to calculate the LCM of 40 and 47.

LCM(40,47) = 23 × 51 × 471
LCM(40,47) = 1880

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