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What is the Least Common Multiple of 67180 and 67188?

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 67180 and 67188 is 1128422460.

LCM(67180,67188) = 1128422460

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Least Common Multiple of 67180 and 67188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67180 and 67188, than apply into the LCM equation.

GCF(67180,67188) = 4
LCM(67180,67188) = ( 67180 × 67188) / 4
LCM(67180,67188) = 4513689840 / 4
LCM(67180,67188) = 1128422460

Least Common Multiple (LCM) of 67180 and 67188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67180 and 67188. First we will calculate the prime factors of 67180 and 67188.

Prime Factorization of 67180

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

67180 = 22 × 51 × 33591

Prime Factorization of 67188

Prime factors of 67188 are 2, 3, 11, 509. Prime factorization of 67188 in exponential form is:

67188 = 22 × 31 × 111 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 67180 and 67188.

LCM(67180,67188) = 22 × 51 × 33591 × 31 × 111 × 5091
LCM(67180,67188) = 1128422460