What is the Least Common Multiple of 53196 and 53213?

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 53213 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 53213, than apply into the LCM equation.

GCF(53196,53213) = 1
LCM(53196,53213) = ( 53196 × 53213) / 1
LCM(53196,53213) = 2830718748 / 1
LCM(53196,53213) = 2830718748

Least Common Multiple (LCM) of 53196 and 53213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53196 and 53213. First we will calculate the prime factors of 53196 and 53213.

Prime Factorization of 53196

Prime Factorization of 53213

Now multiplying the highest exponent prime factors to calculate the LCM of 53196 and 53213.

LCM(53196,53213) = 2² × 3¹ × 11¹ × 13¹ × 31¹ × 127¹ × 419¹
LCM(53196,53213) = 2830718748