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What is the Least Common Multiple of 47208 and 47222?

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 47208 and 47222 is 159232584.

LCM(47208,47222) = 159232584

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Least Common Multiple of 47208 and 47222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47208 and 47222, than apply into the LCM equation.

GCF(47208,47222) = 14
LCM(47208,47222) = ( 47208 × 47222) / 14
LCM(47208,47222) = 2229256176 / 14
LCM(47208,47222) = 159232584

Least Common Multiple (LCM) of 47208 and 47222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47208 and 47222. First we will calculate the prime factors of 47208 and 47222.

Prime Factorization of 47208

Prime factors of 47208 are 2, 3, 7, 281. Prime factorization of 47208 in exponential form is:

47208 = 23 × 31 × 71 × 2811

Prime Factorization of 47222

Prime factors of 47222 are 2, 7, 3373. Prime factorization of 47222 in exponential form is:

47222 = 21 × 71 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 47208 and 47222.

LCM(47208,47222) = 23 × 31 × 71 × 2811 × 33731
LCM(47208,47222) = 159232584