What is the Least Common Multiple of 64448 and 64462?

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 64448 and 64462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64448 and 64462, than apply into the LCM equation.

GCF(64448,64462) = 2
LCM(64448,64462) = ( 64448 × 64462) / 2
LCM(64448,64462) = 4154446976 / 2
LCM(64448,64462) = 2077223488

Least Common Multiple (LCM) of 64448 and 64462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64448 and 64462. First we will calculate the prime factors of 64448 and 64462.

Prime Factorization of 64448

Prime Factorization of 64462

Now multiplying the highest exponent prime factors to calculate the LCM of 64448 and 64462.

LCM(64448,64462) = 2⁶ × 19¹ × 53¹ × 167¹ × 193¹
LCM(64448,64462) = 2077223488