What is the Least Common Multiple of 20274 and 20278?

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 20274 and 20278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20274 and 20278, than apply into the LCM equation.

GCF(20274,20278) = 2
LCM(20274,20278) = ( 20274 × 20278) / 2
LCM(20274,20278) = 411116172 / 2
LCM(20274,20278) = 205558086

Least Common Multiple (LCM) of 20274 and 20278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20274 and 20278. First we will calculate the prime factors of 20274 and 20278.

Prime Factorization of 20274

Prime Factorization of 20278

Now multiplying the highest exponent prime factors to calculate the LCM of 20274 and 20278.

LCM(20274,20278) = 2¹ × 3¹ × 31¹ × 109¹ × 10139¹
LCM(20274,20278) = 205558086