What is the Least Common Multiple of 16978 and 16990?

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 16990 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 16990, than apply into the LCM equation.

GCF(16978,16990) = 2
LCM(16978,16990) = ( 16978 × 16990) / 2
LCM(16978,16990) = 288456220 / 2
LCM(16978,16990) = 144228110

Least Common Multiple (LCM) of 16978 and 16990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16978 and 16990. First we will calculate the prime factors of 16978 and 16990.

Prime Factorization of 16978

Prime Factorization of 16990

Now multiplying the highest exponent prime factors to calculate the LCM of 16978 and 16990.

LCM(16978,16990) = 2¹ × 13¹ × 653¹ × 5¹ × 1699¹
LCM(16978,16990) = 144228110