What is the Least Common Multiple of 16419 and 16437?

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 16419 and 16437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16419 and 16437, than apply into the LCM equation.

GCF(16419,16437) = 3
LCM(16419,16437) = ( 16419 × 16437) / 3
LCM(16419,16437) = 269879103 / 3
LCM(16419,16437) = 89959701

Least Common Multiple (LCM) of 16419 and 16437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16419 and 16437. First we will calculate the prime factors of 16419 and 16437.

Prime Factorization of 16419

Prime Factorization of 16437

Now multiplying the highest exponent prime factors to calculate the LCM of 16419 and 16437.

LCM(16419,16437) = 3¹ × 13¹ × 421¹ × 5479¹
LCM(16419,16437) = 89959701