What is the Least Common Multiple of 78224 and 78241?

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 78224 and 78241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78224 and 78241, than apply into the LCM equation.

GCF(78224,78241) = 1
LCM(78224,78241) = ( 78224 × 78241) / 1
LCM(78224,78241) = 6120323984 / 1
LCM(78224,78241) = 6120323984

Least Common Multiple (LCM) of 78224 and 78241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78224 and 78241. First we will calculate the prime factors of 78224 and 78241.

Prime Factorization of 78224

Prime Factorization of 78241

Now multiplying the highest exponent prime factors to calculate the LCM of 78224 and 78241.

LCM(78224,78241) = 2⁴ × 4889¹ × 78241¹
LCM(78224,78241) = 6120323984