What is the Least Common Multiple of 27902 and 27914?

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 27902 and 27914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27902 and 27914, than apply into the LCM equation.

GCF(27902,27914) = 2
LCM(27902,27914) = ( 27902 × 27914) / 2
LCM(27902,27914) = 778856428 / 2
LCM(27902,27914) = 389428214

Least Common Multiple (LCM) of 27902 and 27914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27902 and 27914. First we will calculate the prime factors of 27902 and 27914.

Prime Factorization of 27902

Prime Factorization of 27914

Now multiplying the highest exponent prime factors to calculate the LCM of 27902 and 27914.

LCM(27902,27914) = 2¹ × 7¹ × 1993¹ × 17¹ × 821¹
LCM(27902,27914) = 389428214