What is the Least Common Multiple of 21074 and 21094?

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 21074 and 21094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21074 and 21094, than apply into the LCM equation.

GCF(21074,21094) = 2
LCM(21074,21094) = ( 21074 × 21094) / 2
LCM(21074,21094) = 444534956 / 2
LCM(21074,21094) = 222267478

Least Common Multiple (LCM) of 21074 and 21094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21074 and 21094. First we will calculate the prime factors of 21074 and 21094.

Prime Factorization of 21074

Prime Factorization of 21094

Now multiplying the highest exponent prime factors to calculate the LCM of 21074 and 21094.

LCM(21074,21094) = 2¹ × 41¹ × 257¹ × 53¹ × 199¹
LCM(21074,21094) = 222267478