What is the Least Common Multiple of 16978 and 16984?

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 16978 and 16984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16978 and 16984, than apply into the LCM equation.

GCF(16978,16984) = 2
LCM(16978,16984) = ( 16978 × 16984) / 2
LCM(16978,16984) = 288354352 / 2
LCM(16978,16984) = 144177176

Least Common Multiple (LCM) of 16978 and 16984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16978 and 16984. First we will calculate the prime factors of 16978 and 16984.

Prime Factorization of 16978

Prime Factorization of 16984

Now multiplying the highest exponent prime factors to calculate the LCM of 16978 and 16984.

LCM(16978,16984) = 2³ × 13¹ × 653¹ × 11¹ × 193¹
LCM(16978,16984) = 144177176