What is the Least Common Multiple of 39534 and 39540?

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 39534 and 39540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39534 and 39540, than apply into the LCM equation.

GCF(39534,39540) = 6
LCM(39534,39540) = ( 39534 × 39540) / 6
LCM(39534,39540) = 1563174360 / 6
LCM(39534,39540) = 260529060

Least Common Multiple (LCM) of 39534 and 39540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39534 and 39540. First we will calculate the prime factors of 39534 and 39540.

Prime Factorization of 39534

Prime Factorization of 39540

Now multiplying the highest exponent prime factors to calculate the LCM of 39534 and 39540.

LCM(39534,39540) = 2² × 3¹ × 11¹ × 599¹ × 5¹ × 659¹
LCM(39534,39540) = 260529060