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What is the Least Common Multiple of 4226 and 4236?

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 4226 and 4236 is 8950668.

LCM(4226,4236) = 8950668

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Least Common Multiple of 4226 and 4236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4226 and 4236, than apply into the LCM equation.

GCF(4226,4236) = 2
LCM(4226,4236) = ( 4226 × 4236) / 2
LCM(4226,4236) = 17901336 / 2
LCM(4226,4236) = 8950668

Least Common Multiple (LCM) of 4226 and 4236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4226 and 4236. First we will calculate the prime factors of 4226 and 4236.

Prime Factorization of 4226

Prime factors of 4226 are 2, 2113. Prime factorization of 4226 in exponential form is:

4226 = 21 × 21131

Prime Factorization of 4236

Prime factors of 4236 are 2, 3, 353. Prime factorization of 4236 in exponential form is:

4236 = 22 × 31 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 4226 and 4236.

LCM(4226,4236) = 22 × 21131 × 31 × 3531
LCM(4226,4236) = 8950668