What is the Least Common Multiple of 1830 and 1835?

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 1830 and 1835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1830 and 1835, than apply into the LCM equation.

GCF(1830,1835) = 5
LCM(1830,1835) = ( 1830 × 1835) / 5
LCM(1830,1835) = 3358050 / 5
LCM(1830,1835) = 671610

Least Common Multiple (LCM) of 1830 and 1835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1830 and 1835. First we will calculate the prime factors of 1830 and 1835.

Prime Factorization of 1830

Prime Factorization of 1835

Now multiplying the highest exponent prime factors to calculate the LCM of 1830 and 1835.

LCM(1830,1835) = 2¹ × 3¹ × 5¹ × 61¹ × 367¹
LCM(1830,1835) = 671610