What is the Least Common Multiple of 53196 and 53206?

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 53196 and 53206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53196 and 53206, than apply into the LCM equation.

GCF(53196,53206) = 2
LCM(53196,53206) = ( 53196 × 53206) / 2
LCM(53196,53206) = 2830346376 / 2
LCM(53196,53206) = 1415173188

Least Common Multiple (LCM) of 53196 and 53206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53196 and 53206. First we will calculate the prime factors of 53196 and 53206.

Prime Factorization of 53196

Prime Factorization of 53206

Now multiplying the highest exponent prime factors to calculate the LCM of 53196 and 53206.

LCM(53196,53206) = 2² × 3¹ × 11¹ × 13¹ × 31¹ × 37¹ × 719¹
LCM(53196,53206) = 1415173188