What is the Least Common Multiple of 81522 and 81537?

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 81522 and 81537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81522 and 81537, than apply into the LCM equation.

GCF(81522,81537) = 3
LCM(81522,81537) = ( 81522 × 81537) / 3
LCM(81522,81537) = 6647059314 / 3
LCM(81522,81537) = 2215686438

Least Common Multiple (LCM) of 81522 and 81537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81522 and 81537. First we will calculate the prime factors of 81522 and 81537.

Prime Factorization of 81522

Prime Factorization of 81537

Now multiplying the highest exponent prime factors to calculate the LCM of 81522 and 81537.

LCM(81522,81537) = 2¹ × 3² × 7¹ × 647¹ × 27179¹
LCM(81522,81537) = 2215686438