What is the Least Common Multiple of 16050 and 16062?

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 16050 and 16062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16050 and 16062, than apply into the LCM equation.

GCF(16050,16062) = 6
LCM(16050,16062) = ( 16050 × 16062) / 6
LCM(16050,16062) = 257795100 / 6
LCM(16050,16062) = 42965850

Least Common Multiple (LCM) of 16050 and 16062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16050 and 16062. First we will calculate the prime factors of 16050 and 16062.

Prime Factorization of 16050

Prime Factorization of 16062

Now multiplying the highest exponent prime factors to calculate the LCM of 16050 and 16062.

LCM(16050,16062) = 2¹ × 3¹ × 5² × 107¹ × 2677¹
LCM(16050,16062) = 42965850