What is the Least Common Multiple of 78208 and 78217?

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 78208 and 78217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78208 and 78217, than apply into the LCM equation.

GCF(78208,78217) = 1
LCM(78208,78217) = ( 78208 × 78217) / 1
LCM(78208,78217) = 6117195136 / 1
LCM(78208,78217) = 6117195136

Least Common Multiple (LCM) of 78208 and 78217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78208 and 78217. First we will calculate the prime factors of 78208 and 78217.

Prime Factorization of 78208

Prime Factorization of 78217

Now multiplying the highest exponent prime factors to calculate the LCM of 78208 and 78217.

LCM(78208,78217) = 2⁷ × 13¹ × 47¹ × 17¹ × 43¹ × 107¹
LCM(78208,78217) = 6117195136