What is the Least Common Multiple of 36448 and 36461?

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 36461 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 36461, than apply into the LCM equation.

GCF(36448,36461) = 1
LCM(36448,36461) = ( 36448 × 36461) / 1
LCM(36448,36461) = 1328930528 / 1
LCM(36448,36461) = 1328930528

Least Common Multiple (LCM) of 36448 and 36461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36448 and 36461. First we will calculate the prime factors of 36448 and 36461.

Prime Factorization of 36448

Prime Factorization of 36461

Now multiplying the highest exponent prime factors to calculate the LCM of 36448 and 36461.

LCM(36448,36461) = 2⁵ × 17¹ × 67¹ × 19² × 101¹
LCM(36448,36461) = 1328930528