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What is the Least Common Multiple of 1623 and 1634?

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 1623 and 1634 is 2651982.

LCM(1623,1634) = 2651982

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Least Common Multiple of 1623 and 1634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1623 and 1634, than apply into the LCM equation.

GCF(1623,1634) = 1
LCM(1623,1634) = ( 1623 × 1634) / 1
LCM(1623,1634) = 2651982 / 1
LCM(1623,1634) = 2651982

Least Common Multiple (LCM) of 1623 and 1634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1623 and 1634. First we will calculate the prime factors of 1623 and 1634.

Prime Factorization of 1623

Prime factors of 1623 are 3, 541. Prime factorization of 1623 in exponential form is:

1623 = 31 × 5411

Prime Factorization of 1634

Prime factors of 1634 are 2, 19, 43. Prime factorization of 1634 in exponential form is:

1634 = 21 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 1623 and 1634.

LCM(1623,1634) = 31 × 5411 × 21 × 191 × 431
LCM(1623,1634) = 2651982