GCF and LCM Calculator Logo

What is the Least Common Multiple of 54880 and 54900?

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 (LCM) of 54880 and 54900 is 150645600.

LCM(54880,54900) = 150645600

LCM Calculator and
and

Least Common Multiple of 54880 and 54900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54880 and 54900, than apply into the LCM equation.

GCF(54880,54900) = 20
LCM(54880,54900) = ( 54880 × 54900) / 20
LCM(54880,54900) = 3012912000 / 20
LCM(54880,54900) = 150645600

Least Common Multiple (LCM) of 54880 and 54900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54880 and 54900. First we will calculate the prime factors of 54880 and 54900.

Prime Factorization of 54880

Prime factors of 54880 are 2, 5, 7. Prime factorization of 54880 in exponential form is:

54880 = 25 × 51 × 73

Prime Factorization of 54900

Prime factors of 54900 are 2, 3, 5, 61. Prime factorization of 54900 in exponential form is:

54900 = 22 × 32 × 52 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 54880 and 54900.

LCM(54880,54900) = 25 × 52 × 73 × 32 × 611
LCM(54880,54900) = 150645600