What is the Least Common Multiple of 40890 and 40896?

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 40896 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 40896, than apply into the LCM equation.

GCF(40890,40896) = 6
LCM(40890,40896) = ( 40890 × 40896) / 6
LCM(40890,40896) = 1672237440 / 6
LCM(40890,40896) = 278706240

Least Common Multiple (LCM) of 40890 and 40896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40890 and 40896. First we will calculate the prime factors of 40890 and 40896.

Prime Factorization of 40890

Prime Factorization of 40896

Now multiplying the highest exponent prime factors to calculate the LCM of 40890 and 40896.

LCM(40890,40896) = 2⁶ × 3² × 5¹ × 29¹ × 47¹ × 71¹
LCM(40890,40896) = 278706240