What is the Least Common Multiple of 64446 and 64458?

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 64458 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 64458, than apply into the LCM equation.

GCF(64446,64458) = 6
LCM(64446,64458) = ( 64446 × 64458) / 6
LCM(64446,64458) = 4154060268 / 6
LCM(64446,64458) = 692343378

Least Common Multiple (LCM) of 64446 and 64458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64446 and 64458. First we will calculate the prime factors of 64446 and 64458.

Prime Factorization of 64446

Prime Factorization of 64458

Now multiplying the highest exponent prime factors to calculate the LCM of 64446 and 64458.

LCM(64446,64458) = 2¹ × 3² × 23¹ × 467¹ × 3581¹
LCM(64446,64458) = 692343378