What is the Least Common Multiple of 64561 and 64567?

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 64561 and 64567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64561 and 64567, than apply into the LCM equation.

GCF(64561,64567) = 1
LCM(64561,64567) = ( 64561 × 64567) / 1
LCM(64561,64567) = 4168510087 / 1
LCM(64561,64567) = 4168510087

Least Common Multiple (LCM) of 64561 and 64567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64561 and 64567. First we will calculate the prime factors of 64561 and 64567.

Prime Factorization of 64561

Prime Factorization of 64567

Now multiplying the highest exponent prime factors to calculate the LCM of 64561 and 64567.

LCM(64561,64567) = 7¹ × 23¹ × 401¹ × 64567¹
LCM(64561,64567) = 4168510087