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What is the Least Common Multiple of 4213 and 4225?

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 4213 and 4225 is 17799925.

LCM(4213,4225) = 17799925

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Least Common Multiple of 4213 and 4225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4213 and 4225, than apply into the LCM equation.

GCF(4213,4225) = 1
LCM(4213,4225) = ( 4213 × 4225) / 1
LCM(4213,4225) = 17799925 / 1
LCM(4213,4225) = 17799925

Least Common Multiple (LCM) of 4213 and 4225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4213 and 4225. First we will calculate the prime factors of 4213 and 4225.

Prime Factorization of 4213

Prime factors of 4213 are 11, 383. Prime factorization of 4213 in exponential form is:

4213 = 111 × 3831

Prime Factorization of 4225

Prime factors of 4225 are 5, 13. Prime factorization of 4225 in exponential form is:

4225 = 52 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 4213 and 4225.

LCM(4213,4225) = 111 × 3831 × 52 × 132
LCM(4213,4225) = 17799925