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What is the Least Common Multiple of 1613 and 1633?

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 1633 is 2634029.

LCM(1613,1633) = 2634029

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Least Common Multiple of 1613 and 1633 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 1633, than apply into the LCM equation.

GCF(1613,1633) = 1
LCM(1613,1633) = ( 1613 × 1633) / 1
LCM(1613,1633) = 2634029 / 1
LCM(1613,1633) = 2634029

Least Common Multiple (LCM) of 1613 and 1633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1613 and 1633. First we will calculate the prime factors of 1613 and 1633.

Prime Factorization of 1613

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

1613 = 16131

Prime Factorization of 1633

Prime factors of 1633 are 23, 71. Prime factorization of 1633 in exponential form is:

1633 = 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 1613 and 1633.

LCM(1613,1633) = 16131 × 231 × 711
LCM(1613,1633) = 2634029