What is the Least Common Multiple of 55815 and 55835?

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 55815 and 55835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55815 and 55835, than apply into the LCM equation.

GCF(55815,55835) = 5
LCM(55815,55835) = ( 55815 × 55835) / 5
LCM(55815,55835) = 3116430525 / 5
LCM(55815,55835) = 623286105

Least Common Multiple (LCM) of 55815 and 55835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55815 and 55835. First we will calculate the prime factors of 55815 and 55835.

Prime Factorization of 55815

Prime Factorization of 55835

Now multiplying the highest exponent prime factors to calculate the LCM of 55815 and 55835.

LCM(55815,55835) = 3¹ × 5¹ × 61² × 13¹ × 859¹
LCM(55815,55835) = 623286105