What is the Least Common Multiple of 81975 and 81981?

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 81975 and 81981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81975 and 81981, than apply into the LCM equation.

GCF(81975,81981) = 3
LCM(81975,81981) = ( 81975 × 81981) / 3
LCM(81975,81981) = 6720392475 / 3
LCM(81975,81981) = 2240130825

Least Common Multiple (LCM) of 81975 and 81981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81975 and 81981. First we will calculate the prime factors of 81975 and 81981.

Prime Factorization of 81975

Prime Factorization of 81981

Now multiplying the highest exponent prime factors to calculate the LCM of 81975 and 81981.

LCM(81975,81981) = 3² × 5² × 1093¹ × 9109¹
LCM(81975,81981) = 2240130825