What is the Least Common Multiple of 1893 and 1902?

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 of 1893 and 1902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1893 and 1902, than apply into the LCM equation.

GCF(1893,1902) = 3
LCM(1893,1902) = ( 1893 × 1902) / 3
LCM(1893,1902) = 3600486 / 3
LCM(1893,1902) = 1200162

Least Common Multiple (LCM) of 1893 and 1902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1893 and 1902. First we will calculate the prime factors of 1893 and 1902.

Prime Factorization of 1893

Prime Factorization of 1902

Now multiplying the highest exponent prime factors to calculate the LCM of 1893 and 1902.

LCM(1893,1902) = 3¹ × 631¹ × 2¹ × 317¹
LCM(1893,1902) = 1200162