What is the Least Common Multiple of 64246 and 64260?

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 64246 and 64260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64246 and 64260, than apply into the LCM equation.

GCF(64246,64260) = 14
LCM(64246,64260) = ( 64246 × 64260) / 14
LCM(64246,64260) = 4128447960 / 14
LCM(64246,64260) = 294889140

Least Common Multiple (LCM) of 64246 and 64260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64246 and 64260. First we will calculate the prime factors of 64246 and 64260.

Prime Factorization of 64246

Prime Factorization of 64260

Now multiplying the highest exponent prime factors to calculate the LCM of 64246 and 64260.

LCM(64246,64260) = 2² × 7¹ × 13¹ × 353¹ × 3³ × 5¹ × 17¹
LCM(64246,64260) = 294889140