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What is the Least Common Multiple of 37092 and 37101?

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 37092 and 37101 is 458716764.

LCM(37092,37101) = 458716764

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Least Common Multiple of 37092 and 37101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37092 and 37101, than apply into the LCM equation.

GCF(37092,37101) = 3
LCM(37092,37101) = ( 37092 × 37101) / 3
LCM(37092,37101) = 1376150292 / 3
LCM(37092,37101) = 458716764

Least Common Multiple (LCM) of 37092 and 37101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37092 and 37101. First we will calculate the prime factors of 37092 and 37101.

Prime Factorization of 37092

Prime factors of 37092 are 2, 3, 11, 281. Prime factorization of 37092 in exponential form is:

37092 = 22 × 31 × 111 × 2811

Prime Factorization of 37101

Prime factors of 37101 are 3, 83, 149. Prime factorization of 37101 in exponential form is:

37101 = 31 × 831 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 37092 and 37101.

LCM(37092,37101) = 22 × 31 × 111 × 2811 × 831 × 1491
LCM(37092,37101) = 458716764