What is the Least Common Multiple of 55520 and 55535?

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 55520 and 55535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55520 and 55535, than apply into the LCM equation.

GCF(55520,55535) = 5
LCM(55520,55535) = ( 55520 × 55535) / 5
LCM(55520,55535) = 3083303200 / 5
LCM(55520,55535) = 616660640

Least Common Multiple (LCM) of 55520 and 55535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55520 and 55535. First we will calculate the prime factors of 55520 and 55535.

Prime Factorization of 55520

Prime Factorization of 55535

Now multiplying the highest exponent prime factors to calculate the LCM of 55520 and 55535.

LCM(55520,55535) = 2⁵ × 5¹ × 347¹ × 29¹ × 383¹
LCM(55520,55535) = 616660640