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What is the Least Common Multiple of 4215 and 4232?

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 4215 and 4232 is 17837880.

LCM(4215,4232) = 17837880

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Least Common Multiple of 4215 and 4232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4215 and 4232, than apply into the LCM equation.

GCF(4215,4232) = 1
LCM(4215,4232) = ( 4215 × 4232) / 1
LCM(4215,4232) = 17837880 / 1
LCM(4215,4232) = 17837880

Least Common Multiple (LCM) of 4215 and 4232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4215 and 4232. First we will calculate the prime factors of 4215 and 4232.

Prime Factorization of 4215

Prime factors of 4215 are 3, 5, 281. Prime factorization of 4215 in exponential form is:

4215 = 31 × 51 × 2811

Prime Factorization of 4232

Prime factors of 4232 are 2, 23. Prime factorization of 4232 in exponential form is:

4232 = 23 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 4215 and 4232.

LCM(4215,4232) = 31 × 51 × 2811 × 23 × 232
LCM(4215,4232) = 17837880