What is the Least Common Multiple of 65440 and 65450?

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 65440 and 65450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65440 and 65450, than apply into the LCM equation.

GCF(65440,65450) = 10
LCM(65440,65450) = ( 65440 × 65450) / 10
LCM(65440,65450) = 4283048000 / 10
LCM(65440,65450) = 428304800

Least Common Multiple (LCM) of 65440 and 65450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65440 and 65450. First we will calculate the prime factors of 65440 and 65450.

Prime Factorization of 65440

Prime Factorization of 65450

Now multiplying the highest exponent prime factors to calculate the LCM of 65440 and 65450.

LCM(65440,65450) = 2⁵ × 5² × 409¹ × 7¹ × 11¹ × 17¹
LCM(65440,65450) = 428304800