What is the Least Common Multiple of 20146 and 20153?

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 20146 and 20153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20146 and 20153, than apply into the LCM equation.

GCF(20146,20153) = 7
LCM(20146,20153) = ( 20146 × 20153) / 7
LCM(20146,20153) = 406002338 / 7
LCM(20146,20153) = 58000334

Least Common Multiple (LCM) of 20146 and 20153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20146 and 20153. First we will calculate the prime factors of 20146 and 20153.

Prime Factorization of 20146

Prime Factorization of 20153

Now multiplying the highest exponent prime factors to calculate the LCM of 20146 and 20153.

LCM(20146,20153) = 2¹ × 7¹ × 1439¹ × 2879¹
LCM(20146,20153) = 58000334