GCF and LCM Calculator Logo

What is the Least Common Multiple of 64169 and 64183?

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 (LCM) of 64169 and 64183 is 588365561.

LCM(64169,64183) = 588365561

LCM Calculator and
and

Least Common Multiple of 64169 and 64183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64169 and 64183, than apply into the LCM equation.

GCF(64169,64183) = 7
LCM(64169,64183) = ( 64169 × 64183) / 7
LCM(64169,64183) = 4118558927 / 7
LCM(64169,64183) = 588365561

Least Common Multiple (LCM) of 64169 and 64183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64169 and 64183. First we will calculate the prime factors of 64169 and 64183.

Prime Factorization of 64169

Prime factors of 64169 are 7, 89, 103. Prime factorization of 64169 in exponential form is:

64169 = 71 × 891 × 1031

Prime Factorization of 64183

Prime factors of 64183 are 7, 53, 173. Prime factorization of 64183 in exponential form is:

64183 = 71 × 531 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 64169 and 64183.

LCM(64169,64183) = 71 × 891 × 1031 × 531 × 1731
LCM(64169,64183) = 588365561