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What is the Least Common Multiple of 4429 and 4444?

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 4429 and 4444 is 19682476.

LCM(4429,4444) = 19682476

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Least Common Multiple of 4429 and 4444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4429 and 4444, than apply into the LCM equation.

GCF(4429,4444) = 1
LCM(4429,4444) = ( 4429 × 4444) / 1
LCM(4429,4444) = 19682476 / 1
LCM(4429,4444) = 19682476

Least Common Multiple (LCM) of 4429 and 4444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4429 and 4444. First we will calculate the prime factors of 4429 and 4444.

Prime Factorization of 4429

Prime factors of 4429 are 43, 103. Prime factorization of 4429 in exponential form is:

4429 = 431 × 1031

Prime Factorization of 4444

Prime factors of 4444 are 2, 11, 101. Prime factorization of 4444 in exponential form is:

4444 = 22 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4429 and 4444.

LCM(4429,4444) = 431 × 1031 × 22 × 111 × 1011
LCM(4429,4444) = 19682476