What is the Least Common Multiple of 65072 and 65076?

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 65072 and 65076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65072 and 65076, than apply into the LCM equation.

GCF(65072,65076) = 4
LCM(65072,65076) = ( 65072 × 65076) / 4
LCM(65072,65076) = 4234625472 / 4
LCM(65072,65076) = 1058656368

Least Common Multiple (LCM) of 65072 and 65076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65072 and 65076. First we will calculate the prime factors of 65072 and 65076.

Prime Factorization of 65072

Prime Factorization of 65076

Now multiplying the highest exponent prime factors to calculate the LCM of 65072 and 65076.

LCM(65072,65076) = 2⁴ × 7² × 83¹ × 3¹ × 11¹ × 17¹ × 29¹
LCM(65072,65076) = 1058656368