What is the Least Common Multiple of 65049 and 65064?

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 65049 and 65064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65049 and 65064, than apply into the LCM equation.

GCF(65049,65064) = 3
LCM(65049,65064) = ( 65049 × 65064) / 3
LCM(65049,65064) = 4232348136 / 3
LCM(65049,65064) = 1410782712

Least Common Multiple (LCM) of 65049 and 65064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65049 and 65064. First we will calculate the prime factors of 65049 and 65064.

Prime Factorization of 65049

Prime Factorization of 65064

Now multiplying the highest exponent prime factors to calculate the LCM of 65049 and 65064.

LCM(65049,65064) = 3¹ × 21683¹ × 2³ × 2711¹
LCM(65049,65064) = 1410782712