What is the Least Common Multiple of 81984 and 81998?

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 81984 and 81998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81984 and 81998, than apply into the LCM equation.

GCF(81984,81998) = 14
LCM(81984,81998) = ( 81984 × 81998) / 14
LCM(81984,81998) = 6722524032 / 14
LCM(81984,81998) = 480180288

Least Common Multiple (LCM) of 81984 and 81998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81984 and 81998. First we will calculate the prime factors of 81984 and 81998.

Prime Factorization of 81984

Prime Factorization of 81998

Now multiplying the highest exponent prime factors to calculate the LCM of 81984 and 81998.

LCM(81984,81998) = 2⁶ × 3¹ × 7¹ × 61¹ × 5857¹
LCM(81984,81998) = 480180288