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What is the Least Common Multiple of 1863 and 1867?

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 1863 and 1867 is 3478221.

LCM(1863,1867) = 3478221

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Least Common Multiple of 1863 and 1867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1863 and 1867, than apply into the LCM equation.

GCF(1863,1867) = 1
LCM(1863,1867) = ( 1863 × 1867) / 1
LCM(1863,1867) = 3478221 / 1
LCM(1863,1867) = 3478221

Least Common Multiple (LCM) of 1863 and 1867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1863 and 1867. First we will calculate the prime factors of 1863 and 1867.

Prime Factorization of 1863

Prime factors of 1863 are 3, 23. Prime factorization of 1863 in exponential form is:

1863 = 34 × 231

Prime Factorization of 1867

Prime factors of 1867 are 1867. Prime factorization of 1867 in exponential form is:

1867 = 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 1863 and 1867.

LCM(1863,1867) = 34 × 231 × 18671
LCM(1863,1867) = 3478221