What is the Least Common Multiple of 56196 and 56209?

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 56196 and 56209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56196 and 56209, than apply into the LCM equation.

GCF(56196,56209) = 1
LCM(56196,56209) = ( 56196 × 56209) / 1
LCM(56196,56209) = 3158720964 / 1
LCM(56196,56209) = 3158720964

Least Common Multiple (LCM) of 56196 and 56209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56196 and 56209. First we will calculate the prime factors of 56196 and 56209.

Prime Factorization of 56196

Prime Factorization of 56209

Now multiplying the highest exponent prime factors to calculate the LCM of 56196 and 56209.

LCM(56196,56209) = 2² × 3² × 7¹ × 223¹ × 56209¹
LCM(56196,56209) = 3158720964