What is the Least Common Multiple of 55605 and 55625?

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 55605 and 55625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55605 and 55625, than apply into the LCM equation.

GCF(55605,55625) = 5
LCM(55605,55625) = ( 55605 × 55625) / 5
LCM(55605,55625) = 3093028125 / 5
LCM(55605,55625) = 618605625

Least Common Multiple (LCM) of 55605 and 55625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55605 and 55625. First we will calculate the prime factors of 55605 and 55625.

Prime Factorization of 55605

Prime Factorization of 55625

Now multiplying the highest exponent prime factors to calculate the LCM of 55605 and 55625.

LCM(55605,55625) = 3¹ × 5⁴ × 11¹ × 337¹ × 89¹
LCM(55605,55625) = 618605625