What is the Least Common Multiple of 64241 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 64241 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 64241 and 64253, than apply into the LCM equation.

GCF(64241,64253) = 1
LCM(64241,64253) = ( 64241 × 64253) / 1
LCM(64241,64253) = 4127676973 / 1
LCM(64241,64253) = 4127676973

Least Common Multiple (LCM) of 64241 and 64253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64241 and 64253. First we will calculate the prime factors of 64241 and 64253.

Prime Factorization of 64241

Prime Factorization of 64253

Now multiplying the highest exponent prime factors to calculate the LCM of 64241 and 64253.

LCM(64241,64253) = 227¹ × 283¹ × 7¹ × 67¹ × 137¹
LCM(64241,64253) = 4127676973