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What is the Least Common Multiple of 37067 and 37073?

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 37067 and 37073 is 1374184891.

LCM(37067,37073) = 1374184891

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Least Common Multiple of 37067 and 37073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37067 and 37073, than apply into the LCM equation.

GCF(37067,37073) = 1
LCM(37067,37073) = ( 37067 × 37073) / 1
LCM(37067,37073) = 1374184891 / 1
LCM(37067,37073) = 1374184891

Least Common Multiple (LCM) of 37067 and 37073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37067 and 37073. First we will calculate the prime factors of 37067 and 37073.

Prime Factorization of 37067

Prime factors of 37067 are 101, 367. Prime factorization of 37067 in exponential form is:

37067 = 1011 × 3671

Prime Factorization of 37073

Prime factors of 37073 are 131, 283. Prime factorization of 37073 in exponential form is:

37073 = 1311 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 37067 and 37073.

LCM(37067,37073) = 1011 × 3671 × 1311 × 2831
LCM(37067,37073) = 1374184891