What is the Least Common Multiple of 68560 and 68576?

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 68560 and 68576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68560 and 68576, than apply into the LCM equation.

GCF(68560,68576) = 16
LCM(68560,68576) = ( 68560 × 68576) / 16
LCM(68560,68576) = 4701570560 / 16
LCM(68560,68576) = 293848160

Least Common Multiple (LCM) of 68560 and 68576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68560 and 68576. First we will calculate the prime factors of 68560 and 68576.

Prime Factorization of 68560

Prime Factorization of 68576

Now multiplying the highest exponent prime factors to calculate the LCM of 68560 and 68576.

LCM(68560,68576) = 2⁵ × 5¹ × 857¹ × 2143¹
LCM(68560,68576) = 293848160