What is the Least Common Multiple of 81972 and 81984?

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 81972 and 81984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81972 and 81984, than apply into the LCM equation.

GCF(81972,81984) = 12
LCM(81972,81984) = ( 81972 × 81984) / 12
LCM(81972,81984) = 6720392448 / 12
LCM(81972,81984) = 560032704

Least Common Multiple (LCM) of 81972 and 81984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81972 and 81984. First we will calculate the prime factors of 81972 and 81984.

Prime Factorization of 81972

Prime Factorization of 81984

Now multiplying the highest exponent prime factors to calculate the LCM of 81972 and 81984.

LCM(81972,81984) = 2⁶ × 3⁴ × 11¹ × 23¹ × 7¹ × 61¹
LCM(81972,81984) = 560032704