What is the Least Common Multiple of 20352 and 20365?

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 20352 and 20365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20352 and 20365, than apply into the LCM equation.

GCF(20352,20365) = 1
LCM(20352,20365) = ( 20352 × 20365) / 1
LCM(20352,20365) = 414468480 / 1
LCM(20352,20365) = 414468480

Least Common Multiple (LCM) of 20352 and 20365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20352 and 20365. First we will calculate the prime factors of 20352 and 20365.

Prime Factorization of 20352

Prime Factorization of 20365

Now multiplying the highest exponent prime factors to calculate the LCM of 20352 and 20365.

LCM(20352,20365) = 2⁷ × 3¹ × 53¹ × 5¹ × 4073¹
LCM(20352,20365) = 414468480