What is the Least Common Multiple of 65472 and 65492?

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 65472 and 65492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65472 and 65492, than apply into the LCM equation.

GCF(65472,65492) = 4
LCM(65472,65492) = ( 65472 × 65492) / 4
LCM(65472,65492) = 4287892224 / 4
LCM(65472,65492) = 1071973056

Least Common Multiple (LCM) of 65472 and 65492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65472 and 65492. First we will calculate the prime factors of 65472 and 65492.

Prime Factorization of 65472

Prime Factorization of 65492

Now multiplying the highest exponent prime factors to calculate the LCM of 65472 and 65492.

LCM(65472,65492) = 2⁶ × 3¹ × 11¹ × 31¹ × 7¹ × 2339¹
LCM(65472,65492) = 1071973056