What is the Least Common Multiple of 85983 and 85988?

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 85983 and 85988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85983 and 85988, than apply into the LCM equation.

GCF(85983,85988) = 1
LCM(85983,85988) = ( 85983 × 85988) / 1
LCM(85983,85988) = 7393506204 / 1
LCM(85983,85988) = 7393506204

Least Common Multiple (LCM) of 85983 and 85988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85983 and 85988. First we will calculate the prime factors of 85983 and 85988.

Prime Factorization of 85983

Prime Factorization of 85988

Now multiplying the highest exponent prime factors to calculate the LCM of 85983 and 85988.

LCM(85983,85988) = 3¹ × 28661¹ × 2² × 7¹ × 37¹ × 83¹
LCM(85983,85988) = 7393506204