What is the Least Common Multiple of 67072 and 67091?

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 67072 and 67091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67072 and 67091, than apply into the LCM equation.

GCF(67072,67091) = 1
LCM(67072,67091) = ( 67072 × 67091) / 1
LCM(67072,67091) = 4499927552 / 1
LCM(67072,67091) = 4499927552

Least Common Multiple (LCM) of 67072 and 67091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67072 and 67091. First we will calculate the prime factors of 67072 and 67091.

Prime Factorization of 67072

Prime Factorization of 67091

Now multiplying the highest exponent prime factors to calculate the LCM of 67072 and 67091.

LCM(67072,67091) = 2⁹ × 131¹ × 23¹ × 2917¹
LCM(67072,67091) = 4499927552