What is the Least Common Multiple of 20958 and 20972?

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 20958 and 20972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20958 and 20972, than apply into the LCM equation.

GCF(20958,20972) = 14
LCM(20958,20972) = ( 20958 × 20972) / 14
LCM(20958,20972) = 439531176 / 14
LCM(20958,20972) = 31395084

Least Common Multiple (LCM) of 20958 and 20972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20958 and 20972. First we will calculate the prime factors of 20958 and 20972.

Prime Factorization of 20958

Prime Factorization of 20972

Now multiplying the highest exponent prime factors to calculate the LCM of 20958 and 20972.

LCM(20958,20972) = 2² × 3¹ × 7² × 499¹ × 107¹
LCM(20958,20972) = 31395084