What is the Least Common Multiple of 64945 and 64949?

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 64945 and 64949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64945 and 64949, than apply into the LCM equation.

GCF(64945,64949) = 1
LCM(64945,64949) = ( 64945 × 64949) / 1
LCM(64945,64949) = 4218112805 / 1
LCM(64945,64949) = 4218112805

Least Common Multiple (LCM) of 64945 and 64949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64945 and 64949. First we will calculate the prime factors of 64945 and 64949.

Prime Factorization of 64945

Prime Factorization of 64949

Now multiplying the highest exponent prime factors to calculate the LCM of 64945 and 64949.

LCM(64945,64949) = 5¹ × 31¹ × 419¹ × 107¹ × 607¹
LCM(64945,64949) = 4218112805