What is the Least Common Multiple of 81060 and 81064?

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 81060 and 81064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81060 and 81064, than apply into the LCM equation.

GCF(81060,81064) = 4
LCM(81060,81064) = ( 81060 × 81064) / 4
LCM(81060,81064) = 6571047840 / 4
LCM(81060,81064) = 1642761960

Least Common Multiple (LCM) of 81060 and 81064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81060 and 81064. First we will calculate the prime factors of 81060 and 81064.

Prime Factorization of 81060

Prime Factorization of 81064

Now multiplying the highest exponent prime factors to calculate the LCM of 81060 and 81064.

LCM(81060,81064) = 2³ × 3¹ × 5¹ × 7¹ × 193¹ × 10133¹
LCM(81060,81064) = 1642761960