What is the Least Common Multiple of 42480 and 42496?

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 42480 and 42496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42480 and 42496, than apply into the LCM equation.

GCF(42480,42496) = 16
LCM(42480,42496) = ( 42480 × 42496) / 16
LCM(42480,42496) = 1805230080 / 16
LCM(42480,42496) = 112826880

Least Common Multiple (LCM) of 42480 and 42496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42480 and 42496. First we will calculate the prime factors of 42480 and 42496.

Prime Factorization of 42480

Prime Factorization of 42496

Now multiplying the highest exponent prime factors to calculate the LCM of 42480 and 42496.

LCM(42480,42496) = 2⁹ × 3² × 5¹ × 59¹ × 83¹
LCM(42480,42496) = 112826880