What is the Least Common Multiple of 80049 and 80064?

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 80049 and 80064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80049 and 80064, than apply into the LCM equation.

GCF(80049,80064) = 3
LCM(80049,80064) = ( 80049 × 80064) / 3
LCM(80049,80064) = 6409043136 / 3
LCM(80049,80064) = 2136347712

Least Common Multiple (LCM) of 80049 and 80064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80049 and 80064. First we will calculate the prime factors of 80049 and 80064.

Prime Factorization of 80049

Prime Factorization of 80064

Now multiplying the highest exponent prime factors to calculate the LCM of 80049 and 80064.

LCM(80049,80064) = 3² × 26683¹ × 2⁶ × 139¹
LCM(80049,80064) = 2136347712