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What is the Least Common Multiple of 12070 and 12084?

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 12070 and 12084 is 72926940.

LCM(12070,12084) = 72926940

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Least Common Multiple of 12070 and 12084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12070 and 12084, than apply into the LCM equation.

GCF(12070,12084) = 2
LCM(12070,12084) = ( 12070 × 12084) / 2
LCM(12070,12084) = 145853880 / 2
LCM(12070,12084) = 72926940

Least Common Multiple (LCM) of 12070 and 12084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12070 and 12084. First we will calculate the prime factors of 12070 and 12084.

Prime Factorization of 12070

Prime factors of 12070 are 2, 5, 17, 71. Prime factorization of 12070 in exponential form is:

12070 = 21 × 51 × 171 × 711

Prime Factorization of 12084

Prime factors of 12084 are 2, 3, 19, 53. Prime factorization of 12084 in exponential form is:

12084 = 22 × 31 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 12070 and 12084.

LCM(12070,12084) = 22 × 51 × 171 × 711 × 31 × 191 × 531
LCM(12070,12084) = 72926940