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What is the Least Common Multiple of 29619 and 29625?

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 29619 and 29625 is 292487625.

LCM(29619,29625) = 292487625

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Least Common Multiple of 29619 and 29625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29619 and 29625, than apply into the LCM equation.

GCF(29619,29625) = 3
LCM(29619,29625) = ( 29619 × 29625) / 3
LCM(29619,29625) = 877462875 / 3
LCM(29619,29625) = 292487625

Least Common Multiple (LCM) of 29619 and 29625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29619 and 29625. First we will calculate the prime factors of 29619 and 29625.

Prime Factorization of 29619

Prime factors of 29619 are 3, 1097. Prime factorization of 29619 in exponential form is:

29619 = 33 × 10971

Prime Factorization of 29625

Prime factors of 29625 are 3, 5, 79. Prime factorization of 29625 in exponential form is:

29625 = 31 × 53 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 29619 and 29625.

LCM(29619,29625) = 33 × 10971 × 53 × 791
LCM(29619,29625) = 292487625