What is the Least Common Multiple of 78904 and 78917?

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 78904 and 78917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78904 and 78917, than apply into the LCM equation.

GCF(78904,78917) = 1
LCM(78904,78917) = ( 78904 × 78917) / 1
LCM(78904,78917) = 6226866968 / 1
LCM(78904,78917) = 6226866968

Least Common Multiple (LCM) of 78904 and 78917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78904 and 78917. First we will calculate the prime factors of 78904 and 78917.

Prime Factorization of 78904

Prime Factorization of 78917

Now multiplying the highest exponent prime factors to calculate the LCM of 78904 and 78917.

LCM(78904,78917) = 2³ × 7¹ × 1409¹ × 53¹ × 1489¹
LCM(78904,78917) = 6226866968