What is the Least Common Multiple of 54670 and 54680?

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 54670 and 54680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54670 and 54680, than apply into the LCM equation.

GCF(54670,54680) = 10
LCM(54670,54680) = ( 54670 × 54680) / 10
LCM(54670,54680) = 2989355600 / 10
LCM(54670,54680) = 298935560

Least Common Multiple (LCM) of 54670 and 54680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54670 and 54680. First we will calculate the prime factors of 54670 and 54680.

Prime Factorization of 54670

Prime Factorization of 54680

Now multiplying the highest exponent prime factors to calculate the LCM of 54670 and 54680.

LCM(54670,54680) = 2³ × 5¹ × 7¹ × 11¹ × 71¹ × 1367¹
LCM(54670,54680) = 298935560