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What is the Least Common Multiple of 37147 and 37167?

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 37147 and 37167 is 1380642549.

LCM(37147,37167) = 1380642549

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Least Common Multiple of 37147 and 37167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37147 and 37167, than apply into the LCM equation.

GCF(37147,37167) = 1
LCM(37147,37167) = ( 37147 × 37167) / 1
LCM(37147,37167) = 1380642549 / 1
LCM(37147,37167) = 1380642549

Least Common Multiple (LCM) of 37147 and 37167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37147 and 37167. First we will calculate the prime factors of 37147 and 37167.

Prime Factorization of 37147

Prime factors of 37147 are 11, 307. Prime factorization of 37147 in exponential form is:

37147 = 112 × 3071

Prime Factorization of 37167

Prime factors of 37167 are 3, 13, 953. Prime factorization of 37167 in exponential form is:

37167 = 31 × 131 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 37147 and 37167.

LCM(37147,37167) = 112 × 3071 × 31 × 131 × 9531
LCM(37147,37167) = 1380642549