What is the Least Common Multiple of 68480 and 68496?

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 68480 and 68496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68480 and 68496, than apply into the LCM equation.

GCF(68480,68496) = 16
LCM(68480,68496) = ( 68480 × 68496) / 16
LCM(68480,68496) = 4690606080 / 16
LCM(68480,68496) = 293162880

Least Common Multiple (LCM) of 68480 and 68496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68480 and 68496. First we will calculate the prime factors of 68480 and 68496.

Prime Factorization of 68480

Prime Factorization of 68496

Now multiplying the highest exponent prime factors to calculate the LCM of 68480 and 68496.

LCM(68480,68496) = 2⁷ × 5¹ × 107¹ × 3¹ × 1427¹
LCM(68480,68496) = 293162880