What is the Least Common Multiple of 81523 and 81536?

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 81523 and 81536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81523 and 81536, than apply into the LCM equation.

GCF(81523,81536) = 13
LCM(81523,81536) = ( 81523 × 81536) / 13
LCM(81523,81536) = 6647059328 / 13
LCM(81523,81536) = 511312256

Least Common Multiple (LCM) of 81523 and 81536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81523 and 81536. First we will calculate the prime factors of 81523 and 81536.

Prime Factorization of 81523

Prime Factorization of 81536

Now multiplying the highest exponent prime factors to calculate the LCM of 81523 and 81536.

LCM(81523,81536) = 13¹ × 6271¹ × 2⁷ × 7²
LCM(81523,81536) = 511312256