What is the Least Common Multiple of 92072 and 92081?

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 92072 and 92081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92072 and 92081, than apply into the LCM equation.

GCF(92072,92081) = 1
LCM(92072,92081) = ( 92072 × 92081) / 1
LCM(92072,92081) = 8478081832 / 1
LCM(92072,92081) = 8478081832

Least Common Multiple (LCM) of 92072 and 92081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92072 and 92081. First we will calculate the prime factors of 92072 and 92081.

Prime Factorization of 92072

Prime Factorization of 92081

Now multiplying the highest exponent prime factors to calculate the LCM of 92072 and 92081.

LCM(92072,92081) = 2³ × 17¹ × 677¹ × 11² × 761¹
LCM(92072,92081) = 8478081832