What is the Least Common Multiple of 9894 and 9914?

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 9894 and 9914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9894 and 9914, than apply into the LCM equation.

GCF(9894,9914) = 2
LCM(9894,9914) = ( 9894 × 9914) / 2
LCM(9894,9914) = 98089116 / 2
LCM(9894,9914) = 49044558

Least Common Multiple (LCM) of 9894 and 9914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9894 and 9914. First we will calculate the prime factors of 9894 and 9914.

Prime Factorization of 9894

Prime Factorization of 9914

Now multiplying the highest exponent prime factors to calculate the LCM of 9894 and 9914.

LCM(9894,9914) = 2¹ × 3¹ × 17¹ × 97¹ × 4957¹
LCM(9894,9914) = 49044558