What is the Least Common Multiple of 36448 and 36458?

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 36448 and 36458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36448 and 36458, than apply into the LCM equation.

GCF(36448,36458) = 2
LCM(36448,36458) = ( 36448 × 36458) / 2
LCM(36448,36458) = 1328821184 / 2
LCM(36448,36458) = 664410592

Least Common Multiple (LCM) of 36448 and 36458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36448 and 36458. First we will calculate the prime factors of 36448 and 36458.

Prime Factorization of 36448

Prime Factorization of 36458

Now multiplying the highest exponent prime factors to calculate the LCM of 36448 and 36458.

LCM(36448,36458) = 2⁵ × 17¹ × 67¹ × 18229¹
LCM(36448,36458) = 664410592