What is the Least Common Multiple of 54720 and 54729?

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 54720 and 54729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54720 and 54729, than apply into the LCM equation.

GCF(54720,54729) = 9
LCM(54720,54729) = ( 54720 × 54729) / 9
LCM(54720,54729) = 2994770880 / 9
LCM(54720,54729) = 332752320

Least Common Multiple (LCM) of 54720 and 54729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54720 and 54729. First we will calculate the prime factors of 54720 and 54729.

Prime Factorization of 54720

Prime Factorization of 54729

Now multiplying the highest exponent prime factors to calculate the LCM of 54720 and 54729.

LCM(54720,54729) = 2⁶ × 3³ × 5¹ × 19¹ × 2027¹
LCM(54720,54729) = 332752320