What is the Least Common Multiple of 54660 and 54671?

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 54660 and 54671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54660 and 54671, than apply into the LCM equation.

GCF(54660,54671) = 1
LCM(54660,54671) = ( 54660 × 54671) / 1
LCM(54660,54671) = 2988316860 / 1
LCM(54660,54671) = 2988316860

Least Common Multiple (LCM) of 54660 and 54671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54660 and 54671. First we will calculate the prime factors of 54660 and 54671.

Prime Factorization of 54660

Prime Factorization of 54671

Now multiplying the highest exponent prime factors to calculate the LCM of 54660 and 54671.

LCM(54660,54671) = 2² × 3¹ × 5¹ × 911¹ × 23¹ × 2377¹
LCM(54660,54671) = 2988316860