What is the Least Common Multiple of 71734 and 71752?

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 71734 and 71752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71734 and 71752, than apply into the LCM equation.

GCF(71734,71752) = 2
LCM(71734,71752) = ( 71734 × 71752) / 2
LCM(71734,71752) = 5147057968 / 2
LCM(71734,71752) = 2573528984

Least Common Multiple (LCM) of 71734 and 71752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71734 and 71752. First we will calculate the prime factors of 71734 and 71752.

Prime Factorization of 71734

Prime Factorization of 71752

Now multiplying the highest exponent prime factors to calculate the LCM of 71734 and 71752.

LCM(71734,71752) = 2³ × 13¹ × 31¹ × 89¹ × 8969¹
LCM(71734,71752) = 2573528984