What is the Least Common Multiple of 81972 and 81976?

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 81976 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 81976, than apply into the LCM equation.

GCF(81972,81976) = 4
LCM(81972,81976) = ( 81972 × 81976) / 4
LCM(81972,81976) = 6719736672 / 4
LCM(81972,81976) = 1679934168

Least Common Multiple (LCM) of 81972 and 81976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81972 and 81976. First we will calculate the prime factors of 81972 and 81976.

Prime Factorization of 81972

Prime Factorization of 81976

Now multiplying the highest exponent prime factors to calculate the LCM of 81972 and 81976.

LCM(81972,81976) = 2³ × 3⁴ × 11¹ × 23¹ × 10247¹
LCM(81972,81976) = 1679934168