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What is the Least Common Multiple of 67208 and 67227?

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 67208 and 67227 is 4518192216.

LCM(67208,67227) = 4518192216

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Least Common Multiple of 67208 and 67227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67208 and 67227, than apply into the LCM equation.

GCF(67208,67227) = 1
LCM(67208,67227) = ( 67208 × 67227) / 1
LCM(67208,67227) = 4518192216 / 1
LCM(67208,67227) = 4518192216

Least Common Multiple (LCM) of 67208 and 67227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67208 and 67227. First we will calculate the prime factors of 67208 and 67227.

Prime Factorization of 67208

Prime factors of 67208 are 2, 31, 271. Prime factorization of 67208 in exponential form is:

67208 = 23 × 311 × 2711

Prime Factorization of 67227

Prime factors of 67227 are 3, 22409. Prime factorization of 67227 in exponential form is:

67227 = 31 × 224091

Now multiplying the highest exponent prime factors to calculate the LCM of 67208 and 67227.

LCM(67208,67227) = 23 × 311 × 2711 × 31 × 224091
LCM(67208,67227) = 4518192216