What is the Least Common Multiple of 85972 and 85981?

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 85972 and 85981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85972 and 85981, than apply into the LCM equation.

GCF(85972,85981) = 1
LCM(85972,85981) = ( 85972 × 85981) / 1
LCM(85972,85981) = 7391958532 / 1
LCM(85972,85981) = 7391958532

Least Common Multiple (LCM) of 85972 and 85981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85972 and 85981. First we will calculate the prime factors of 85972 and 85981.

Prime Factorization of 85972

Prime Factorization of 85981

Now multiplying the highest exponent prime factors to calculate the LCM of 85972 and 85981.

LCM(85972,85981) = 2² × 21493¹ × 7¹ × 71¹ × 173¹
LCM(85972,85981) = 7391958532