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What is the Least Common Multiple of 4410 and 4422?

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 4410 and 4422 is 3250170.

LCM(4410,4422) = 3250170

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Least Common Multiple of 4410 and 4422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4410 and 4422, than apply into the LCM equation.

GCF(4410,4422) = 6
LCM(4410,4422) = ( 4410 × 4422) / 6
LCM(4410,4422) = 19501020 / 6
LCM(4410,4422) = 3250170

Least Common Multiple (LCM) of 4410 and 4422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4410 and 4422. First we will calculate the prime factors of 4410 and 4422.

Prime Factorization of 4410

Prime factors of 4410 are 2, 3, 5, 7. Prime factorization of 4410 in exponential form is:

4410 = 21 × 32 × 51 × 72

Prime Factorization of 4422

Prime factors of 4422 are 2, 3, 11, 67. Prime factorization of 4422 in exponential form is:

4422 = 21 × 31 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 4410 and 4422.

LCM(4410,4422) = 21 × 32 × 51 × 72 × 111 × 671
LCM(4410,4422) = 3250170