What is the Least Common Multiple of 36446 and 36464?

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 36446 and 36464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36446 and 36464, than apply into the LCM equation.

GCF(36446,36464) = 2
LCM(36446,36464) = ( 36446 × 36464) / 2
LCM(36446,36464) = 1328966944 / 2
LCM(36446,36464) = 664483472

Least Common Multiple (LCM) of 36446 and 36464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36446 and 36464. First we will calculate the prime factors of 36446 and 36464.

Prime Factorization of 36446

Prime Factorization of 36464

Now multiplying the highest exponent prime factors to calculate the LCM of 36446 and 36464.

LCM(36446,36464) = 2⁴ × 18223¹ × 43¹ × 53¹
LCM(36446,36464) = 664483472