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What is the Least Common Multiple of 37991 and 38003?

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 37991 and 38003 is 1443771973.

LCM(37991,38003) = 1443771973

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Least Common Multiple of 37991 and 38003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37991 and 38003, than apply into the LCM equation.

GCF(37991,38003) = 1
LCM(37991,38003) = ( 37991 × 38003) / 1
LCM(37991,38003) = 1443771973 / 1
LCM(37991,38003) = 1443771973

Least Common Multiple (LCM) of 37991 and 38003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37991 and 38003. First we will calculate the prime factors of 37991 and 38003.

Prime Factorization of 37991

Prime factors of 37991 are 37991. Prime factorization of 37991 in exponential form is:

37991 = 379911

Prime Factorization of 38003

Prime factors of 38003 are 7, 61, 89. Prime factorization of 38003 in exponential form is:

38003 = 71 × 611 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 37991 and 38003.

LCM(37991,38003) = 379911 × 71 × 611 × 891
LCM(37991,38003) = 1443771973