What is the Least Common Multiple of 92064 and 92080?

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 92064 and 92080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92064 and 92080, than apply into the LCM equation.

GCF(92064,92080) = 16
LCM(92064,92080) = ( 92064 × 92080) / 16
LCM(92064,92080) = 8477253120 / 16
LCM(92064,92080) = 529828320

Least Common Multiple (LCM) of 92064 and 92080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92064 and 92080. First we will calculate the prime factors of 92064 and 92080.

Prime Factorization of 92064

Prime Factorization of 92080

Now multiplying the highest exponent prime factors to calculate the LCM of 92064 and 92080.

LCM(92064,92080) = 2⁵ × 3¹ × 7¹ × 137¹ × 5¹ × 1151¹
LCM(92064,92080) = 529828320