What is the Least Common Multiple of 81978 and 81992?

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 81978 and 81992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81978 and 81992, than apply into the LCM equation.

GCF(81978,81992) = 2
LCM(81978,81992) = ( 81978 × 81992) / 2
LCM(81978,81992) = 6721540176 / 2
LCM(81978,81992) = 3360770088

Least Common Multiple (LCM) of 81978 and 81992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81978 and 81992. First we will calculate the prime factors of 81978 and 81992.

Prime Factorization of 81978

Prime Factorization of 81992

Now multiplying the highest exponent prime factors to calculate the LCM of 81978 and 81992.

LCM(81978,81992) = 2³ × 3¹ × 13¹ × 1051¹ × 37¹ × 277¹
LCM(81978,81992) = 3360770088