What is the Least Common Multiple of 40446 and 40455?

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 40446 and 40455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40446 and 40455, than apply into the LCM equation.

GCF(40446,40455) = 9
LCM(40446,40455) = ( 40446 × 40455) / 9
LCM(40446,40455) = 1636242930 / 9
LCM(40446,40455) = 181804770

Least Common Multiple (LCM) of 40446 and 40455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40446 and 40455. First we will calculate the prime factors of 40446 and 40455.

Prime Factorization of 40446

Prime Factorization of 40455

Now multiplying the highest exponent prime factors to calculate the LCM of 40446 and 40455.

LCM(40446,40455) = 2¹ × 3³ × 7¹ × 107¹ × 5¹ × 29¹ × 31¹
LCM(40446,40455) = 181804770