What is the Least Common Multiple of 55295 and 55315?

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 55295 and 55315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55295 and 55315, than apply into the LCM equation.

GCF(55295,55315) = 5
LCM(55295,55315) = ( 55295 × 55315) / 5
LCM(55295,55315) = 3058642925 / 5
LCM(55295,55315) = 611728585

Least Common Multiple (LCM) of 55295 and 55315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55295 and 55315. First we will calculate the prime factors of 55295 and 55315.

Prime Factorization of 55295

Prime Factorization of 55315

Now multiplying the highest exponent prime factors to calculate the LCM of 55295 and 55315.

LCM(55295,55315) = 5¹ × 11059¹ × 13¹ × 23¹ × 37¹
LCM(55295,55315) = 611728585