What is the Least Common Multiple of 39516 and 39534?

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 39516 and 39534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39516 and 39534, than apply into the LCM equation.

GCF(39516,39534) = 6
LCM(39516,39534) = ( 39516 × 39534) / 6
LCM(39516,39534) = 1562225544 / 6
LCM(39516,39534) = 260370924

Least Common Multiple (LCM) of 39516 and 39534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39516 and 39534. First we will calculate the prime factors of 39516 and 39534.

Prime Factorization of 39516

Prime Factorization of 39534

Now multiplying the highest exponent prime factors to calculate the LCM of 39516 and 39534.

LCM(39516,39534) = 2² × 3¹ × 37¹ × 89¹ × 11¹ × 599¹
LCM(39516,39534) = 260370924