What is the Least Common Multiple of 78917 and 78926?

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 78917 and 78926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78917 and 78926, than apply into the LCM equation.

GCF(78917,78926) = 1
LCM(78917,78926) = ( 78917 × 78926) / 1
LCM(78917,78926) = 6228603142 / 1
LCM(78917,78926) = 6228603142

Least Common Multiple (LCM) of 78917 and 78926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78917 and 78926. First we will calculate the prime factors of 78917 and 78926.

Prime Factorization of 78917

Prime Factorization of 78926

Now multiplying the highest exponent prime factors to calculate the LCM of 78917 and 78926.

LCM(78917,78926) = 53¹ × 1489¹ × 2¹ × 19¹ × 31¹ × 67¹
LCM(78917,78926) = 6228603142