What is the Least Common Multiple of 53191 and 53196?

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 53191 and 53196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53191 and 53196, than apply into the LCM equation.

GCF(53191,53196) = 1
LCM(53191,53196) = ( 53191 × 53196) / 1
LCM(53191,53196) = 2829548436 / 1
LCM(53191,53196) = 2829548436

Least Common Multiple (LCM) of 53191 and 53196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53191 and 53196. First we will calculate the prime factors of 53191 and 53196.

Prime Factorization of 53191

Prime Factorization of 53196

Now multiplying the highest exponent prime factors to calculate the LCM of 53191 and 53196.

LCM(53191,53196) = 43¹ × 1237¹ × 2² × 3¹ × 11¹ × 13¹ × 31¹
LCM(53191,53196) = 2829548436