What is the Least Common Multiple of 1896 and 1901?

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 1896 and 1901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1896 and 1901, than apply into the LCM equation.

GCF(1896,1901) = 1
LCM(1896,1901) = ( 1896 × 1901) / 1
LCM(1896,1901) = 3604296 / 1
LCM(1896,1901) = 3604296

Least Common Multiple (LCM) of 1896 and 1901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1896 and 1901. First we will calculate the prime factors of 1896 and 1901.

Prime Factorization of 1896

Prime Factorization of 1901

Now multiplying the highest exponent prime factors to calculate the LCM of 1896 and 1901.

LCM(1896,1901) = 2³ × 3¹ × 79¹ × 1901¹
LCM(1896,1901) = 3604296