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What is the Least Common Multiple of 1865 and 1885?

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 1865 and 1885 is 703105.

LCM(1865,1885) = 703105

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Least Common Multiple of 1865 and 1885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1865 and 1885, than apply into the LCM equation.

GCF(1865,1885) = 5
LCM(1865,1885) = ( 1865 × 1885) / 5
LCM(1865,1885) = 3515525 / 5
LCM(1865,1885) = 703105

Least Common Multiple (LCM) of 1865 and 1885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1865 and 1885. First we will calculate the prime factors of 1865 and 1885.

Prime Factorization of 1865

Prime factors of 1865 are 5, 373. Prime factorization of 1865 in exponential form is:

1865 = 51 × 3731

Prime Factorization of 1885

Prime factors of 1885 are 5, 13, 29. Prime factorization of 1885 in exponential form is:

1885 = 51 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1865 and 1885.

LCM(1865,1885) = 51 × 3731 × 131 × 291
LCM(1865,1885) = 703105