What is the Least Common Multiple of 29772 and 29786?

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 29772 and 29786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29772 and 29786, than apply into the LCM equation.

GCF(29772,29786) = 2
LCM(29772,29786) = ( 29772 × 29786) / 2
LCM(29772,29786) = 886788792 / 2
LCM(29772,29786) = 443394396

Least Common Multiple (LCM) of 29772 and 29786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29772 and 29786. First we will calculate the prime factors of 29772 and 29786.

Prime Factorization of 29772

Prime Factorization of 29786

Now multiplying the highest exponent prime factors to calculate the LCM of 29772 and 29786.

LCM(29772,29786) = 2² × 3² × 827¹ × 53¹ × 281¹
LCM(29772,29786) = 443394396