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What is the Least Common Multiple of 4216 and 4235?

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 4216 and 4235 is 17854760.

LCM(4216,4235) = 17854760

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Least Common Multiple of 4216 and 4235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4216 and 4235, than apply into the LCM equation.

GCF(4216,4235) = 1
LCM(4216,4235) = ( 4216 × 4235) / 1
LCM(4216,4235) = 17854760 / 1
LCM(4216,4235) = 17854760

Least Common Multiple (LCM) of 4216 and 4235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4216 and 4235. First we will calculate the prime factors of 4216 and 4235.

Prime Factorization of 4216

Prime factors of 4216 are 2, 17, 31. Prime factorization of 4216 in exponential form is:

4216 = 23 × 171 × 311

Prime Factorization of 4235

Prime factors of 4235 are 5, 7, 11. Prime factorization of 4235 in exponential form is:

4235 = 51 × 71 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 4216 and 4235.

LCM(4216,4235) = 23 × 171 × 311 × 51 × 71 × 112
LCM(4216,4235) = 17854760