What is the Least Common Multiple of 71916 and 71936?

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 71916 and 71936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71916 and 71936, than apply into the LCM equation.

GCF(71916,71936) = 4
LCM(71916,71936) = ( 71916 × 71936) / 4
LCM(71916,71936) = 5173349376 / 4
LCM(71916,71936) = 1293337344

Least Common Multiple (LCM) of 71916 and 71936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71916 and 71936. First we will calculate the prime factors of 71916 and 71936.

Prime Factorization of 71916

Prime Factorization of 71936

Now multiplying the highest exponent prime factors to calculate the LCM of 71916 and 71936.

LCM(71916,71936) = 2⁸ × 3¹ × 13¹ × 461¹ × 281¹
LCM(71916,71936) = 1293337344