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What is the Least Common Multiple of 1626 and 1643?

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 1626 and 1643 is 2671518.

LCM(1626,1643) = 2671518

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Least Common Multiple of 1626 and 1643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1626 and 1643, than apply into the LCM equation.

GCF(1626,1643) = 1
LCM(1626,1643) = ( 1626 × 1643) / 1
LCM(1626,1643) = 2671518 / 1
LCM(1626,1643) = 2671518

Least Common Multiple (LCM) of 1626 and 1643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1626 and 1643. First we will calculate the prime factors of 1626 and 1643.

Prime Factorization of 1626

Prime factors of 1626 are 2, 3, 271. Prime factorization of 1626 in exponential form is:

1626 = 21 × 31 × 2711

Prime Factorization of 1643

Prime factors of 1643 are 31, 53. Prime factorization of 1643 in exponential form is:

1643 = 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 1626 and 1643.

LCM(1626,1643) = 21 × 31 × 2711 × 311 × 531
LCM(1626,1643) = 2671518