What is the Least Common Multiple of 40890 and 40905?

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 40890 and 40905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40890 and 40905, than apply into the LCM equation.

GCF(40890,40905) = 15
LCM(40890,40905) = ( 40890 × 40905) / 15
LCM(40890,40905) = 1672605450 / 15
LCM(40890,40905) = 111507030

Least Common Multiple (LCM) of 40890 and 40905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40890 and 40905. First we will calculate the prime factors of 40890 and 40905.

Prime Factorization of 40890

Prime Factorization of 40905

Now multiplying the highest exponent prime factors to calculate the LCM of 40890 and 40905.

LCM(40890,40905) = 2¹ × 3⁴ × 5¹ × 29¹ × 47¹ × 101¹
LCM(40890,40905) = 111507030