What is the Least Common Multiple of 64928 and 64945?

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 64928 and 64945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64928 and 64945, than apply into the LCM equation.

GCF(64928,64945) = 1
LCM(64928,64945) = ( 64928 × 64945) / 1
LCM(64928,64945) = 4216748960 / 1
LCM(64928,64945) = 4216748960

Least Common Multiple (LCM) of 64928 and 64945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64928 and 64945. First we will calculate the prime factors of 64928 and 64945.

Prime Factorization of 64928

Prime Factorization of 64945

Now multiplying the highest exponent prime factors to calculate the LCM of 64928 and 64945.

LCM(64928,64945) = 2⁵ × 2029¹ × 5¹ × 31¹ × 419¹
LCM(64928,64945) = 4216748960