What is the Least Common Multiple of 64249 and 64253?

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 64249 and 64253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64249 and 64253, than apply into the LCM equation.

GCF(64249,64253) = 1
LCM(64249,64253) = ( 64249 × 64253) / 1
LCM(64249,64253) = 4128190997 / 1
LCM(64249,64253) = 4128190997

Least Common Multiple (LCM) of 64249 and 64253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64249 and 64253. First we will calculate the prime factors of 64249 and 64253.

Prime Factorization of 64249

Prime Factorization of 64253

Now multiplying the highest exponent prime factors to calculate the LCM of 64249 and 64253.

LCM(64249,64253) = 47¹ × 1367¹ × 7¹ × 67¹ × 137¹
LCM(64249,64253) = 4128190997