What is the Least Common Multiple of 78525 and 78540?

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 78525 and 78540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78525 and 78540, than apply into the LCM equation.

GCF(78525,78540) = 15
LCM(78525,78540) = ( 78525 × 78540) / 15
LCM(78525,78540) = 6167353500 / 15
LCM(78525,78540) = 411156900

Least Common Multiple (LCM) of 78525 and 78540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78525 and 78540. First we will calculate the prime factors of 78525 and 78540.

Prime Factorization of 78525

Prime Factorization of 78540

Now multiplying the highest exponent prime factors to calculate the LCM of 78525 and 78540.

LCM(78525,78540) = 3² × 5² × 349¹ × 2² × 7¹ × 11¹ × 17¹
LCM(78525,78540) = 411156900