What is the Least Common Multiple of 27510 and 27525?

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 27510 and 27525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27510 and 27525, than apply into the LCM equation.

GCF(27510,27525) = 15
LCM(27510,27525) = ( 27510 × 27525) / 15
LCM(27510,27525) = 757212750 / 15
LCM(27510,27525) = 50480850

Least Common Multiple (LCM) of 27510 and 27525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27510 and 27525. First we will calculate the prime factors of 27510 and 27525.

Prime Factorization of 27510

Prime Factorization of 27525

Now multiplying the highest exponent prime factors to calculate the LCM of 27510 and 27525.

LCM(27510,27525) = 2¹ × 3¹ × 5² × 7¹ × 131¹ × 367¹
LCM(27510,27525) = 50480850