What is the Least Common Multiple of 81510 and 81525?

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 81510 and 81525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81510 and 81525, than apply into the LCM equation.

GCF(81510,81525) = 15
LCM(81510,81525) = ( 81510 × 81525) / 15
LCM(81510,81525) = 6645102750 / 15
LCM(81510,81525) = 443006850

Least Common Multiple (LCM) of 81510 and 81525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81510 and 81525. First we will calculate the prime factors of 81510 and 81525.

Prime Factorization of 81510

Prime Factorization of 81525

Now multiplying the highest exponent prime factors to calculate the LCM of 81510 and 81525.

LCM(81510,81525) = 2¹ × 3¹ × 5² × 11¹ × 13¹ × 19¹ × 1087¹
LCM(81510,81525) = 443006850