GCF and LCM Calculator Logo

What is the Least Common Multiple of 64253 and 64271?

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 64253 and 64271 is 4129604563.

LCM(64253,64271) = 4129604563

LCM Calculator and
and

Least Common Multiple of 64253 and 64271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64253 and 64271, than apply into the LCM equation.

GCF(64253,64271) = 1
LCM(64253,64271) = ( 64253 × 64271) / 1
LCM(64253,64271) = 4129604563 / 1
LCM(64253,64271) = 4129604563

Least Common Multiple (LCM) of 64253 and 64271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64253 and 64271. First we will calculate the prime factors of 64253 and 64271.

Prime Factorization of 64253

Prime factors of 64253 are 7, 67, 137. Prime factorization of 64253 in exponential form is:

64253 = 71 × 671 × 1371

Prime Factorization of 64271

Prime factors of 64271 are 64271. Prime factorization of 64271 in exponential form is:

64271 = 642711

Now multiplying the highest exponent prime factors to calculate the LCM of 64253 and 64271.

LCM(64253,64271) = 71 × 671 × 1371 × 642711
LCM(64253,64271) = 4129604563