What is the Least Common Multiple of 54690 and 54708?

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 54690 and 54708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54690 and 54708, than apply into the LCM equation.

GCF(54690,54708) = 6
LCM(54690,54708) = ( 54690 × 54708) / 6
LCM(54690,54708) = 2991980520 / 6
LCM(54690,54708) = 498663420

Least Common Multiple (LCM) of 54690 and 54708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54690 and 54708. First we will calculate the prime factors of 54690 and 54708.

Prime Factorization of 54690

Prime Factorization of 54708

Now multiplying the highest exponent prime factors to calculate the LCM of 54690 and 54708.

LCM(54690,54708) = 2² × 3¹ × 5¹ × 1823¹ × 47¹ × 97¹
LCM(54690,54708) = 498663420