What is the Least Common Multiple of 1850 and 1861?

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 1850 and 1861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1850 and 1861, than apply into the LCM equation.

GCF(1850,1861) = 1
LCM(1850,1861) = ( 1850 × 1861) / 1
LCM(1850,1861) = 3442850 / 1
LCM(1850,1861) = 3442850

Least Common Multiple (LCM) of 1850 and 1861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1850 and 1861. First we will calculate the prime factors of 1850 and 1861.

Prime Factorization of 1850

Prime Factorization of 1861

Now multiplying the highest exponent prime factors to calculate the LCM of 1850 and 1861.

LCM(1850,1861) = 2¹ × 5² × 37¹ × 1861¹
LCM(1850,1861) = 3442850