What is the Least Common Multiple of 68540 and 68560?

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 68540 and 68560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68540 and 68560, than apply into the LCM equation.

GCF(68540,68560) = 20
LCM(68540,68560) = ( 68540 × 68560) / 20
LCM(68540,68560) = 4699102400 / 20
LCM(68540,68560) = 234955120

Least Common Multiple (LCM) of 68540 and 68560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68540 and 68560. First we will calculate the prime factors of 68540 and 68560.

Prime Factorization of 68540

Prime Factorization of 68560

Now multiplying the highest exponent prime factors to calculate the LCM of 68540 and 68560.

LCM(68540,68560) = 2⁴ × 5¹ × 23¹ × 149¹ × 857¹
LCM(68540,68560) = 234955120