What is the Least Common Multiple of 21040 and 21052?

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 21040 and 21052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21040 and 21052, than apply into the LCM equation.

GCF(21040,21052) = 4
LCM(21040,21052) = ( 21040 × 21052) / 4
LCM(21040,21052) = 442934080 / 4
LCM(21040,21052) = 110733520

Least Common Multiple (LCM) of 21040 and 21052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21040 and 21052. First we will calculate the prime factors of 21040 and 21052.

Prime Factorization of 21040

Prime Factorization of 21052

Now multiplying the highest exponent prime factors to calculate the LCM of 21040 and 21052.

LCM(21040,21052) = 2⁴ × 5¹ × 263¹ × 19¹ × 277¹
LCM(21040,21052) = 110733520