What is the Least Common Multiple of 40734 and 40752?

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 40734 and 40752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40734 and 40752, than apply into the LCM equation.

GCF(40734,40752) = 18
LCM(40734,40752) = ( 40734 × 40752) / 18
LCM(40734,40752) = 1659991968 / 18
LCM(40734,40752) = 92221776

Least Common Multiple (LCM) of 40734 and 40752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40734 and 40752. First we will calculate the prime factors of 40734 and 40752.

Prime Factorization of 40734

Prime Factorization of 40752

Now multiplying the highest exponent prime factors to calculate the LCM of 40734 and 40752.

LCM(40734,40752) = 2⁴ × 3² × 31¹ × 73¹ × 283¹
LCM(40734,40752) = 92221776