What is the Least Common Multiple of 54810 and 54824?

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 54810 and 54824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54810 and 54824, than apply into the LCM equation.

GCF(54810,54824) = 14
LCM(54810,54824) = ( 54810 × 54824) / 14
LCM(54810,54824) = 3004903440 / 14
LCM(54810,54824) = 214635960

Least Common Multiple (LCM) of 54810 and 54824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54810 and 54824. First we will calculate the prime factors of 54810 and 54824.

Prime Factorization of 54810

Prime Factorization of 54824

Now multiplying the highest exponent prime factors to calculate the LCM of 54810 and 54824.

LCM(54810,54824) = 2³ × 3³ × 5¹ × 7¹ × 29¹ × 11¹ × 89¹
LCM(54810,54824) = 214635960