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What is the Least Common Multiple of 37847 and 37853?

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 37847 and 37853 is 1432622491.

LCM(37847,37853) = 1432622491

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Least Common Multiple of 37847 and 37853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37847 and 37853, than apply into the LCM equation.

GCF(37847,37853) = 1
LCM(37847,37853) = ( 37847 × 37853) / 1
LCM(37847,37853) = 1432622491 / 1
LCM(37847,37853) = 1432622491

Least Common Multiple (LCM) of 37847 and 37853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37847 and 37853. First we will calculate the prime factors of 37847 and 37853.

Prime Factorization of 37847

Prime factors of 37847 are 37847. Prime factorization of 37847 in exponential form is:

37847 = 378471

Prime Factorization of 37853

Prime factors of 37853 are 37853. Prime factorization of 37853 in exponential form is:

37853 = 378531

Now multiplying the highest exponent prime factors to calculate the LCM of 37847 and 37853.

LCM(37847,37853) = 378471 × 378531
LCM(37847,37853) = 1432622491