What is the Least Common Multiple of 64246 and 64259?

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 64259 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 64259, than apply into the LCM equation.

GCF(64246,64259) = 13
LCM(64246,64259) = ( 64246 × 64259) / 13
LCM(64246,64259) = 4128383714 / 13
LCM(64246,64259) = 317567978

Least Common Multiple (LCM) of 64246 and 64259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64246 and 64259. First we will calculate the prime factors of 64246 and 64259.

Prime Factorization of 64246

Prime Factorization of 64259

Now multiplying the highest exponent prime factors to calculate the LCM of 64246 and 64259.

LCM(64246,64259) = 2¹ × 7¹ × 13¹ × 353¹ × 4943¹
LCM(64246,64259) = 317567978