What is the Least Common Multiple of 71908 and 71924?

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 71908 and 71924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71908 and 71924, than apply into the LCM equation.

GCF(71908,71924) = 4
LCM(71908,71924) = ( 71908 × 71924) / 4
LCM(71908,71924) = 5171910992 / 4
LCM(71908,71924) = 1292977748

Least Common Multiple (LCM) of 71908 and 71924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71908 and 71924. First we will calculate the prime factors of 71908 and 71924.

Prime Factorization of 71908

Prime Factorization of 71924

Now multiplying the highest exponent prime factors to calculate the LCM of 71908 and 71924.

LCM(71908,71924) = 2² × 17977¹ × 17981¹
LCM(71908,71924) = 1292977748