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What is the Least Common Multiple of 1613 and 1625?

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 1613 and 1625 is 2621125.

LCM(1613,1625) = 2621125

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Least Common Multiple of 1613 and 1625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1613 and 1625, than apply into the LCM equation.

GCF(1613,1625) = 1
LCM(1613,1625) = ( 1613 × 1625) / 1
LCM(1613,1625) = 2621125 / 1
LCM(1613,1625) = 2621125

Least Common Multiple (LCM) of 1613 and 1625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1613 and 1625. First we will calculate the prime factors of 1613 and 1625.

Prime Factorization of 1613

Prime factors of 1613 are 1613. Prime factorization of 1613 in exponential form is:

1613 = 16131

Prime Factorization of 1625

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

1625 = 53 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1613 and 1625.

LCM(1613,1625) = 16131 × 53 × 131
LCM(1613,1625) = 2621125