What is the Least Common Multiple of 64408 and 64424?

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 64408 and 64424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64408 and 64424, than apply into the LCM equation.

GCF(64408,64424) = 8
LCM(64408,64424) = ( 64408 × 64424) / 8
LCM(64408,64424) = 4149420992 / 8
LCM(64408,64424) = 518677624

Least Common Multiple (LCM) of 64408 and 64424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64408 and 64424. First we will calculate the prime factors of 64408 and 64424.

Prime Factorization of 64408

Prime Factorization of 64424

Now multiplying the highest exponent prime factors to calculate the LCM of 64408 and 64424.

LCM(64408,64424) = 2³ × 83¹ × 97¹ × 8053¹
LCM(64408,64424) = 518677624