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What is the Least Common Multiple of 1625 and 1632?

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 1625 and 1632 is 2652000.

LCM(1625,1632) = 2652000

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Least Common Multiple of 1625 and 1632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1625 and 1632, than apply into the LCM equation.

GCF(1625,1632) = 1
LCM(1625,1632) = ( 1625 × 1632) / 1
LCM(1625,1632) = 2652000 / 1
LCM(1625,1632) = 2652000

Least Common Multiple (LCM) of 1625 and 1632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1625 and 1632. First we will calculate the prime factors of 1625 and 1632.

Prime Factorization of 1625

Prime factors of 1625 are 5, 13. Prime factorization of 1625 in exponential form is:

1625 = 53 × 131

Prime Factorization of 1632

Prime factors of 1632 are 2, 3, 17. Prime factorization of 1632 in exponential form is:

1632 = 25 × 31 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1625 and 1632.

LCM(1625,1632) = 53 × 131 × 25 × 31 × 171
LCM(1625,1632) = 2652000