What is the Least Common Multiple of 16356 and 16374?

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 16356 and 16374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16356 and 16374, than apply into the LCM equation.

GCF(16356,16374) = 6
LCM(16356,16374) = ( 16356 × 16374) / 6
LCM(16356,16374) = 267813144 / 6
LCM(16356,16374) = 44635524

Least Common Multiple (LCM) of 16356 and 16374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16356 and 16374. First we will calculate the prime factors of 16356 and 16374.

Prime Factorization of 16356

Prime Factorization of 16374

Now multiplying the highest exponent prime factors to calculate the LCM of 16356 and 16374.

LCM(16356,16374) = 2² × 3¹ × 29¹ × 47¹ × 2729¹
LCM(16356,16374) = 44635524