What is the Least Common Multiple of 64260 and 64266?

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 64260 and 64266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64260 and 64266, than apply into the LCM equation.

GCF(64260,64266) = 6
LCM(64260,64266) = ( 64260 × 64266) / 6
LCM(64260,64266) = 4129733160 / 6
LCM(64260,64266) = 688288860

Least Common Multiple (LCM) of 64260 and 64266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64260 and 64266. First we will calculate the prime factors of 64260 and 64266.

Prime Factorization of 64260

Prime Factorization of 64266

Now multiplying the highest exponent prime factors to calculate the LCM of 64260 and 64266.

LCM(64260,64266) = 2² × 3³ × 5¹ × 7¹ × 17¹ × 10711¹
LCM(64260,64266) = 688288860