What is the Least Common Multiple of 67080 and 67088?

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 67080 and 67088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67080 and 67088, than apply into the LCM equation.

GCF(67080,67088) = 8
LCM(67080,67088) = ( 67080 × 67088) / 8
LCM(67080,67088) = 4500263040 / 8
LCM(67080,67088) = 562532880

Least Common Multiple (LCM) of 67080 and 67088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67080 and 67088. First we will calculate the prime factors of 67080 and 67088.

Prime Factorization of 67080

Prime Factorization of 67088

Now multiplying the highest exponent prime factors to calculate the LCM of 67080 and 67088.

LCM(67080,67088) = 2⁴ × 3¹ × 5¹ × 13¹ × 43¹ × 7¹ × 599¹
LCM(67080,67088) = 562532880