What is the Least Common Multiple of 64526 and 64537?

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 64526 and 64537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64526 and 64537, than apply into the LCM equation.

GCF(64526,64537) = 11
LCM(64526,64537) = ( 64526 × 64537) / 11
LCM(64526,64537) = 4164314462 / 11
LCM(64526,64537) = 378574042

Least Common Multiple (LCM) of 64526 and 64537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64526 and 64537. First we will calculate the prime factors of 64526 and 64537.

Prime Factorization of 64526

Prime Factorization of 64537

Now multiplying the highest exponent prime factors to calculate the LCM of 64526 and 64537.

LCM(64526,64537) = 2¹ × 7¹ × 11¹ × 419¹ × 5867¹
LCM(64526,64537) = 378574042