What is the Least Common Multiple of 78209 and 78213?

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 78209 and 78213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78209 and 78213, than apply into the LCM equation.

GCF(78209,78213) = 1
LCM(78209,78213) = ( 78209 × 78213) / 1
LCM(78209,78213) = 6116960517 / 1
LCM(78209,78213) = 6116960517

Least Common Multiple (LCM) of 78209 and 78213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78209 and 78213. First we will calculate the prime factors of 78209 and 78213.

Prime Factorization of 78209

Prime Factorization of 78213

Now multiplying the highest exponent prime factors to calculate the LCM of 78209 and 78213.

LCM(78209,78213) = 197¹ × 397¹ × 3¹ × 29² × 31¹
LCM(78209,78213) = 6116960517