What is the Least Common Multiple of 71892 and 71904?

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 71892 and 71904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71892 and 71904, than apply into the LCM equation.

GCF(71892,71904) = 12
LCM(71892,71904) = ( 71892 × 71904) / 12
LCM(71892,71904) = 5169322368 / 12
LCM(71892,71904) = 430776864

Least Common Multiple (LCM) of 71892 and 71904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71892 and 71904. First we will calculate the prime factors of 71892 and 71904.

Prime Factorization of 71892

Prime Factorization of 71904

Now multiplying the highest exponent prime factors to calculate the LCM of 71892 and 71904.

LCM(71892,71904) = 2⁵ × 3² × 1997¹ × 7¹ × 107¹
LCM(71892,71904) = 430776864