What is the Least Common Multiple of 16374 and 16379?

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 16374 and 16379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16374 and 16379, than apply into the LCM equation.

GCF(16374,16379) = 1
LCM(16374,16379) = ( 16374 × 16379) / 1
LCM(16374,16379) = 268189746 / 1
LCM(16374,16379) = 268189746

Least Common Multiple (LCM) of 16374 and 16379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16374 and 16379. First we will calculate the prime factors of 16374 and 16379.

Prime Factorization of 16374

Prime Factorization of 16379

Now multiplying the highest exponent prime factors to calculate the LCM of 16374 and 16379.

LCM(16374,16379) = 2¹ × 3¹ × 2729¹ × 11¹ × 1489¹
LCM(16374,16379) = 268189746