What is the Least Common Multiple of 55185 and 55196?

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 55185 and 55196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55185 and 55196, than apply into the LCM equation.

GCF(55185,55196) = 1
LCM(55185,55196) = ( 55185 × 55196) / 1
LCM(55185,55196) = 3045991260 / 1
LCM(55185,55196) = 3045991260

Least Common Multiple (LCM) of 55185 and 55196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55185 and 55196. First we will calculate the prime factors of 55185 and 55196.

Prime Factorization of 55185

Prime Factorization of 55196

Now multiplying the highest exponent prime factors to calculate the LCM of 55185 and 55196.

LCM(55185,55196) = 3¹ × 5¹ × 13¹ × 283¹ × 2² × 13799¹
LCM(55185,55196) = 3045991260