What is the Least Common Multiple of 55620 and 55635?

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 55620 and 55635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55620 and 55635, than apply into the LCM equation.

GCF(55620,55635) = 15
LCM(55620,55635) = ( 55620 × 55635) / 15
LCM(55620,55635) = 3094418700 / 15
LCM(55620,55635) = 206294580

Least Common Multiple (LCM) of 55620 and 55635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55620 and 55635. First we will calculate the prime factors of 55620 and 55635.

Prime Factorization of 55620

Prime Factorization of 55635

Now multiplying the highest exponent prime factors to calculate the LCM of 55620 and 55635.

LCM(55620,55635) = 2² × 3³ × 5¹ × 103¹ × 3709¹
LCM(55620,55635) = 206294580