What is the Least Common Multiple of 85072 and 85081?

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 85072 and 85081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85072 and 85081, than apply into the LCM equation.

GCF(85072,85081) = 1
LCM(85072,85081) = ( 85072 × 85081) / 1
LCM(85072,85081) = 7238010832 / 1
LCM(85072,85081) = 7238010832

Least Common Multiple (LCM) of 85072 and 85081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85072 and 85081. First we will calculate the prime factors of 85072 and 85081.

Prime Factorization of 85072

Prime Factorization of 85081

Now multiplying the highest exponent prime factors to calculate the LCM of 85072 and 85081.

LCM(85072,85081) = 2⁴ × 13¹ × 409¹ × 85081¹
LCM(85072,85081) = 7238010832