What is the Least Common Multiple of 67772 and 67791?

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 67772 and 67791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67772 and 67791, than apply into the LCM equation.

GCF(67772,67791) = 1
LCM(67772,67791) = ( 67772 × 67791) / 1
LCM(67772,67791) = 4594331652 / 1
LCM(67772,67791) = 4594331652

Least Common Multiple (LCM) of 67772 and 67791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67772 and 67791. First we will calculate the prime factors of 67772 and 67791.

Prime Factorization of 67772

Prime Factorization of 67791

Now multiplying the highest exponent prime factors to calculate the LCM of 67772 and 67791.

LCM(67772,67791) = 2² × 16943¹ × 3¹ × 59¹ × 383¹
LCM(67772,67791) = 4594331652