What is the Least Common Multiple of 20905 and 20916?

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 20905 and 20916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20905 and 20916, than apply into the LCM equation.

GCF(20905,20916) = 1
LCM(20905,20916) = ( 20905 × 20916) / 1
LCM(20905,20916) = 437248980 / 1
LCM(20905,20916) = 437248980

Least Common Multiple (LCM) of 20905 and 20916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20905 and 20916. First we will calculate the prime factors of 20905 and 20916.

Prime Factorization of 20905

Prime Factorization of 20916

Now multiplying the highest exponent prime factors to calculate the LCM of 20905 and 20916.

LCM(20905,20916) = 5¹ × 37¹ × 113¹ × 2² × 3² × 7¹ × 83¹
LCM(20905,20916) = 437248980