What is the Least Common Multiple of 78516 and 78525?

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 78516 and 78525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78516 and 78525, than apply into the LCM equation.

GCF(78516,78525) = 9
LCM(78516,78525) = ( 78516 × 78525) / 9
LCM(78516,78525) = 6165468900 / 9
LCM(78516,78525) = 685052100

Least Common Multiple (LCM) of 78516 and 78525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78516 and 78525. First we will calculate the prime factors of 78516 and 78525.

Prime Factorization of 78516

Prime Factorization of 78525

Now multiplying the highest exponent prime factors to calculate the LCM of 78516 and 78525.

LCM(78516,78525) = 2² × 3³ × 727¹ × 5² × 349¹
LCM(78516,78525) = 685052100