What is the Least Common Multiple of 16945 and 16962?

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 16945 and 16962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16945 and 16962, than apply into the LCM equation.

GCF(16945,16962) = 1
LCM(16945,16962) = ( 16945 × 16962) / 1
LCM(16945,16962) = 287421090 / 1
LCM(16945,16962) = 287421090

Least Common Multiple (LCM) of 16945 and 16962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16945 and 16962. First we will calculate the prime factors of 16945 and 16962.

Prime Factorization of 16945

Prime Factorization of 16962

Now multiplying the highest exponent prime factors to calculate the LCM of 16945 and 16962.

LCM(16945,16962) = 5¹ × 3389¹ × 2¹ × 3¹ × 11¹ × 257¹
LCM(16945,16962) = 287421090