What is the Least Common Multiple of 75480 and 75496?

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 75480 and 75496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75480 and 75496, than apply into the LCM equation.

GCF(75480,75496) = 8
LCM(75480,75496) = ( 75480 × 75496) / 8
LCM(75480,75496) = 5698438080 / 8
LCM(75480,75496) = 712304760

Least Common Multiple (LCM) of 75480 and 75496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75480 and 75496. First we will calculate the prime factors of 75480 and 75496.

Prime Factorization of 75480

Prime Factorization of 75496

Now multiplying the highest exponent prime factors to calculate the LCM of 75480 and 75496.

LCM(75480,75496) = 2³ × 3¹ × 5¹ × 17¹ × 37¹ × 9437¹
LCM(75480,75496) = 712304760