What is the Least Common Multiple of 77910 and 77914?

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 77910 and 77914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77910 and 77914, than apply into the LCM equation.

GCF(77910,77914) = 2
LCM(77910,77914) = ( 77910 × 77914) / 2
LCM(77910,77914) = 6070279740 / 2
LCM(77910,77914) = 3035139870

Least Common Multiple (LCM) of 77910 and 77914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77910 and 77914. First we will calculate the prime factors of 77910 and 77914.

Prime Factorization of 77910

Prime Factorization of 77914

Now multiplying the highest exponent prime factors to calculate the LCM of 77910 and 77914.

LCM(77910,77914) = 2¹ × 3¹ × 5¹ × 7² × 53¹ × 163¹ × 239¹
LCM(77910,77914) = 3035139870