What is the Least Common Multiple of 68520 and 68540?

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 68520 and 68540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68520 and 68540, than apply into the LCM equation.

GCF(68520,68540) = 20
LCM(68520,68540) = ( 68520 × 68540) / 20
LCM(68520,68540) = 4696360800 / 20
LCM(68520,68540) = 234818040

Least Common Multiple (LCM) of 68520 and 68540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68520 and 68540. First we will calculate the prime factors of 68520 and 68540.

Prime Factorization of 68520

Prime Factorization of 68540

Now multiplying the highest exponent prime factors to calculate the LCM of 68520 and 68540.

LCM(68520,68540) = 2³ × 3¹ × 5¹ × 571¹ × 23¹ × 149¹
LCM(68520,68540) = 234818040