What is the Least Common Multiple of 67152 and 67167?

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 67152 and 67167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67152 and 67167, than apply into the LCM equation.

GCF(67152,67167) = 3
LCM(67152,67167) = ( 67152 × 67167) / 3
LCM(67152,67167) = 4510398384 / 3
LCM(67152,67167) = 1503466128

Least Common Multiple (LCM) of 67152 and 67167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67152 and 67167. First we will calculate the prime factors of 67152 and 67167.

Prime Factorization of 67152

Prime Factorization of 67167

Now multiplying the highest exponent prime factors to calculate the LCM of 67152 and 67167.

LCM(67152,67167) = 2⁴ × 3² × 1399¹ × 17¹ × 439¹
LCM(67152,67167) = 1503466128