What is the Least Common Multiple of 55890 and 55904?

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 55890 and 55904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55890 and 55904, than apply into the LCM equation.

GCF(55890,55904) = 2
LCM(55890,55904) = ( 55890 × 55904) / 2
LCM(55890,55904) = 3124474560 / 2
LCM(55890,55904) = 1562237280

Least Common Multiple (LCM) of 55890 and 55904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55890 and 55904. First we will calculate the prime factors of 55890 and 55904.

Prime Factorization of 55890

Prime Factorization of 55904

Now multiplying the highest exponent prime factors to calculate the LCM of 55890 and 55904.

LCM(55890,55904) = 2⁵ × 3⁵ × 5¹ × 23¹ × 1747¹
LCM(55890,55904) = 1562237280