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What is the Least Common Multiple of 37727 and 37739?

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 37727 and 37739 is 1423779253.

LCM(37727,37739) = 1423779253

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Least Common Multiple of 37727 and 37739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37727 and 37739, than apply into the LCM equation.

GCF(37727,37739) = 1
LCM(37727,37739) = ( 37727 × 37739) / 1
LCM(37727,37739) = 1423779253 / 1
LCM(37727,37739) = 1423779253

Least Common Multiple (LCM) of 37727 and 37739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37727 and 37739. First we will calculate the prime factors of 37727 and 37739.

Prime Factorization of 37727

Prime factors of 37727 are 31, 1217. Prime factorization of 37727 in exponential form is:

37727 = 311 × 12171

Prime Factorization of 37739

Prime factors of 37739 are 13, 2903. Prime factorization of 37739 in exponential form is:

37739 = 131 × 29031

Now multiplying the highest exponent prime factors to calculate the LCM of 37727 and 37739.

LCM(37727,37739) = 311 × 12171 × 131 × 29031
LCM(37727,37739) = 1423779253