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What is the Least Common Multiple of 37067 and 37076?

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 37076 is 1374296092.

LCM(37067,37076) = 1374296092

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Least Common Multiple of 37067 and 37076 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 37076, than apply into the LCM equation.

GCF(37067,37076) = 1
LCM(37067,37076) = ( 37067 × 37076) / 1
LCM(37067,37076) = 1374296092 / 1
LCM(37067,37076) = 1374296092

Least Common Multiple (LCM) of 37067 and 37076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37067 and 37076. First we will calculate the prime factors of 37067 and 37076.

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 37076

Prime factors of 37076 are 2, 13, 23, 31. Prime factorization of 37076 in exponential form is:

37076 = 22 × 131 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 37067 and 37076.

LCM(37067,37076) = 1011 × 3671 × 22 × 131 × 231 × 311
LCM(37067,37076) = 1374296092