What is the Least Common Multiple of 7196 and 7213?

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 7196 and 7213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7196 and 7213, than apply into the LCM equation.

GCF(7196,7213) = 1
LCM(7196,7213) = ( 7196 × 7213) / 1
LCM(7196,7213) = 51904748 / 1
LCM(7196,7213) = 51904748

Least Common Multiple (LCM) of 7196 and 7213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7196 and 7213. First we will calculate the prime factors of 7196 and 7213.

Prime Factorization of 7196

Prime Factorization of 7213

Now multiplying the highest exponent prime factors to calculate the LCM of 7196 and 7213.

LCM(7196,7213) = 2² × 7¹ × 257¹ × 7213¹
LCM(7196,7213) = 51904748