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What is the Least Common Multiple of 67176 and 67180?

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 67176 and 67180 is 1128220920.

LCM(67176,67180) = 1128220920

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Least Common Multiple of 67176 and 67180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67176 and 67180, than apply into the LCM equation.

GCF(67176,67180) = 4
LCM(67176,67180) = ( 67176 × 67180) / 4
LCM(67176,67180) = 4512883680 / 4
LCM(67176,67180) = 1128220920

Least Common Multiple (LCM) of 67176 and 67180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67176 and 67180. First we will calculate the prime factors of 67176 and 67180.

Prime Factorization of 67176

Prime factors of 67176 are 2, 3, 311. Prime factorization of 67176 in exponential form is:

67176 = 23 × 33 × 3111

Prime Factorization of 67180

Prime factors of 67180 are 2, 5, 3359. Prime factorization of 67180 in exponential form is:

67180 = 22 × 51 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 67176 and 67180.

LCM(67176,67180) = 23 × 33 × 3111 × 51 × 33591
LCM(67176,67180) = 1128220920