What is the Least Common Multiple of 7905 and 7914?

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 7905 and 7914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7905 and 7914, than apply into the LCM equation.

GCF(7905,7914) = 3
LCM(7905,7914) = ( 7905 × 7914) / 3
LCM(7905,7914) = 62560170 / 3
LCM(7905,7914) = 20853390

Least Common Multiple (LCM) of 7905 and 7914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7905 and 7914. First we will calculate the prime factors of 7905 and 7914.

Prime Factorization of 7905

Prime Factorization of 7914

Now multiplying the highest exponent prime factors to calculate the LCM of 7905 and 7914.

LCM(7905,7914) = 3¹ × 5¹ × 17¹ × 31¹ × 2¹ × 1319¹
LCM(7905,7914) = 20853390