What is the Least Common Multiple of 64260 and 64267?

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 64267 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 64267, than apply into the LCM equation.

GCF(64260,64267) = 7
LCM(64260,64267) = ( 64260 × 64267) / 7
LCM(64260,64267) = 4129797420 / 7
LCM(64260,64267) = 589971060

Least Common Multiple (LCM) of 64260 and 64267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64260 and 64267. First we will calculate the prime factors of 64260 and 64267.

Prime Factorization of 64260

Prime Factorization of 64267

Now multiplying the highest exponent prime factors to calculate the LCM of 64260 and 64267.

LCM(64260,64267) = 2² × 3³ × 5¹ × 7¹ × 17¹ × 9181¹
LCM(64260,64267) = 589971060