What is the Least Common Multiple of 78900 and 78914?

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 78900 and 78914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78900 and 78914, than apply into the LCM equation.

GCF(78900,78914) = 2
LCM(78900,78914) = ( 78900 × 78914) / 2
LCM(78900,78914) = 6226314600 / 2
LCM(78900,78914) = 3113157300

Least Common Multiple (LCM) of 78900 and 78914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78900 and 78914. First we will calculate the prime factors of 78900 and 78914.

Prime Factorization of 78900

Prime Factorization of 78914

Now multiplying the highest exponent prime factors to calculate the LCM of 78900 and 78914.

LCM(78900,78914) = 2² × 3¹ × 5² × 263¹ × 11¹ × 17¹ × 211¹
LCM(78900,78914) = 3113157300