What is the Least Common Multiple of 64446 and 64451?

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 64446 and 64451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64446 and 64451, than apply into the LCM equation.

GCF(64446,64451) = 1
LCM(64446,64451) = ( 64446 × 64451) / 1
LCM(64446,64451) = 4153609146 / 1
LCM(64446,64451) = 4153609146

Least Common Multiple (LCM) of 64446 and 64451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64446 and 64451. First we will calculate the prime factors of 64446 and 64451.

Prime Factorization of 64446

Prime Factorization of 64451

Now multiplying the highest exponent prime factors to calculate the LCM of 64446 and 64451.

LCM(64446,64451) = 2¹ × 3¹ × 23¹ × 467¹ × 64451¹
LCM(64446,64451) = 4153609146