What is the Least Common Multiple of 20148 and 20154?

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 20148 and 20154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20148 and 20154, than apply into the LCM equation.

GCF(20148,20154) = 6
LCM(20148,20154) = ( 20148 × 20154) / 6
LCM(20148,20154) = 406062792 / 6
LCM(20148,20154) = 67677132

Least Common Multiple (LCM) of 20148 and 20154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20148 and 20154. First we will calculate the prime factors of 20148 and 20154.

Prime Factorization of 20148

Prime Factorization of 20154

Now multiplying the highest exponent prime factors to calculate the LCM of 20148 and 20154.

LCM(20148,20154) = 2² × 3¹ × 23¹ × 73¹ × 3359¹
LCM(20148,20154) = 67677132