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What is the Least Common Multiple of 4425 and 4429?

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 4425 and 4429 is 19598325.

LCM(4425,4429) = 19598325

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Least Common Multiple of 4425 and 4429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4425 and 4429, than apply into the LCM equation.

GCF(4425,4429) = 1
LCM(4425,4429) = ( 4425 × 4429) / 1
LCM(4425,4429) = 19598325 / 1
LCM(4425,4429) = 19598325

Least Common Multiple (LCM) of 4425 and 4429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4425 and 4429. First we will calculate the prime factors of 4425 and 4429.

Prime Factorization of 4425

Prime factors of 4425 are 3, 5, 59. Prime factorization of 4425 in exponential form is:

4425 = 31 × 52 × 591

Prime Factorization of 4429

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

4429 = 431 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4425 and 4429.

LCM(4425,4429) = 31 × 52 × 591 × 431 × 1031
LCM(4425,4429) = 19598325