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What is the Least Common Multiple of 15625 and 15633?

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 15625 and 15633 is 244265625.

LCM(15625,15633) = 244265625

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Least Common Multiple of 15625 and 15633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15625 and 15633, than apply into the LCM equation.

GCF(15625,15633) = 1
LCM(15625,15633) = ( 15625 × 15633) / 1
LCM(15625,15633) = 244265625 / 1
LCM(15625,15633) = 244265625

Least Common Multiple (LCM) of 15625 and 15633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15625 and 15633. First we will calculate the prime factors of 15625 and 15633.

Prime Factorization of 15625

Prime factors of 15625 are 5. Prime factorization of 15625 in exponential form is:

15625 = 56

Prime Factorization of 15633

Prime factors of 15633 are 3, 193. Prime factorization of 15633 in exponential form is:

15633 = 34 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 15625 and 15633.

LCM(15625,15633) = 56 × 34 × 1931
LCM(15625,15633) = 244265625