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What is the Least Common Multiple of 4201 and 4212?

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 4201 and 4212 is 17694612.

LCM(4201,4212) = 17694612

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Least Common Multiple of 4201 and 4212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4201 and 4212, than apply into the LCM equation.

GCF(4201,4212) = 1
LCM(4201,4212) = ( 4201 × 4212) / 1
LCM(4201,4212) = 17694612 / 1
LCM(4201,4212) = 17694612

Least Common Multiple (LCM) of 4201 and 4212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4201 and 4212. First we will calculate the prime factors of 4201 and 4212.

Prime Factorization of 4201

Prime factors of 4201 are 4201. Prime factorization of 4201 in exponential form is:

4201 = 42011

Prime Factorization of 4212

Prime factors of 4212 are 2, 3, 13. Prime factorization of 4212 in exponential form is:

4212 = 22 × 34 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 4201 and 4212.

LCM(4201,4212) = 42011 × 22 × 34 × 131
LCM(4201,4212) = 17694612