What is the Least Common Multiple of 78635 and 78644?

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 78635 and 78644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78635 and 78644, than apply into the LCM equation.

GCF(78635,78644) = 1
LCM(78635,78644) = ( 78635 × 78644) / 1
LCM(78635,78644) = 6184170940 / 1
LCM(78635,78644) = 6184170940

Least Common Multiple (LCM) of 78635 and 78644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78635 and 78644. First we will calculate the prime factors of 78635 and 78644.

Prime Factorization of 78635

Prime Factorization of 78644

Now multiplying the highest exponent prime factors to calculate the LCM of 78635 and 78644.

LCM(78635,78644) = 5¹ × 15727¹ × 2² × 19661¹
LCM(78635,78644) = 6184170940