What is the Least Common Multiple of 78480 and 78488?

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 78480 and 78488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78480 and 78488, than apply into the LCM equation.

GCF(78480,78488) = 8
LCM(78480,78488) = ( 78480 × 78488) / 8
LCM(78480,78488) = 6159738240 / 8
LCM(78480,78488) = 769967280

Least Common Multiple (LCM) of 78480 and 78488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78480 and 78488. First we will calculate the prime factors of 78480 and 78488.

Prime Factorization of 78480

Prime Factorization of 78488

Now multiplying the highest exponent prime factors to calculate the LCM of 78480 and 78488.

LCM(78480,78488) = 2⁴ × 3² × 5¹ × 109¹ × 9811¹
LCM(78480,78488) = 769967280