What is the Least Common Multiple of 39732 and 39747?

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 39732 and 39747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39732 and 39747, than apply into the LCM equation.

GCF(39732,39747) = 3
LCM(39732,39747) = ( 39732 × 39747) / 3
LCM(39732,39747) = 1579227804 / 3
LCM(39732,39747) = 526409268

Least Common Multiple (LCM) of 39732 and 39747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39732 and 39747. First we will calculate the prime factors of 39732 and 39747.

Prime Factorization of 39732

Prime Factorization of 39747

Now multiplying the highest exponent prime factors to calculate the LCM of 39732 and 39747.

LCM(39732,39747) = 2² × 3¹ × 7¹ × 11¹ × 43¹ × 13249¹
LCM(39732,39747) = 526409268