GCF and LCM Calculator Logo

What is the Least Common Multiple of 54548 and 54560?

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 54548 and 54560 is 744034720.

LCM(54548,54560) = 744034720

LCM Calculator and
and

Least Common Multiple of 54548 and 54560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54548 and 54560, than apply into the LCM equation.

GCF(54548,54560) = 4
LCM(54548,54560) = ( 54548 × 54560) / 4
LCM(54548,54560) = 2976138880 / 4
LCM(54548,54560) = 744034720

Least Common Multiple (LCM) of 54548 and 54560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54548 and 54560. First we will calculate the prime factors of 54548 and 54560.

Prime Factorization of 54548

Prime factors of 54548 are 2, 13, 1049. Prime factorization of 54548 in exponential form is:

54548 = 22 × 131 × 10491

Prime Factorization of 54560

Prime factors of 54560 are 2, 5, 11, 31. Prime factorization of 54560 in exponential form is:

54560 = 25 × 51 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 54548 and 54560.

LCM(54548,54560) = 25 × 131 × 10491 × 51 × 111 × 311
LCM(54548,54560) = 744034720