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What is the Least Common Multiple of 38127 and 38137?

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 38127 and 38137 is 1454049399.

LCM(38127,38137) = 1454049399

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Least Common Multiple of 38127 and 38137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38127 and 38137, than apply into the LCM equation.

GCF(38127,38137) = 1
LCM(38127,38137) = ( 38127 × 38137) / 1
LCM(38127,38137) = 1454049399 / 1
LCM(38127,38137) = 1454049399

Least Common Multiple (LCM) of 38127 and 38137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38127 and 38137. First we will calculate the prime factors of 38127 and 38137.

Prime Factorization of 38127

Prime factors of 38127 are 3, 71, 179. Prime factorization of 38127 in exponential form is:

38127 = 31 × 711 × 1791

Prime Factorization of 38137

Prime factors of 38137 are 11, 3467. Prime factorization of 38137 in exponential form is:

38137 = 111 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 38127 and 38137.

LCM(38127,38137) = 31 × 711 × 1791 × 111 × 34671
LCM(38127,38137) = 1454049399