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What is the Least Common Multiple of 4211 and 4215?

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 4211 and 4215 is 17749365.

LCM(4211,4215) = 17749365

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Least Common Multiple of 4211 and 4215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4211 and 4215, than apply into the LCM equation.

GCF(4211,4215) = 1
LCM(4211,4215) = ( 4211 × 4215) / 1
LCM(4211,4215) = 17749365 / 1
LCM(4211,4215) = 17749365

Least Common Multiple (LCM) of 4211 and 4215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4211 and 4215. First we will calculate the prime factors of 4211 and 4215.

Prime Factorization of 4211

Prime factors of 4211 are 4211. Prime factorization of 4211 in exponential form is:

4211 = 42111

Prime Factorization of 4215

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

4215 = 31 × 51 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 4211 and 4215.

LCM(4211,4215) = 42111 × 31 × 51 × 2811
LCM(4211,4215) = 17749365