What is the Least Common Multiple of 20958 and 20970?

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 20970 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 20970, than apply into the LCM equation.

GCF(20958,20970) = 6
LCM(20958,20970) = ( 20958 × 20970) / 6
LCM(20958,20970) = 439489260 / 6
LCM(20958,20970) = 73248210

Least Common Multiple (LCM) of 20958 and 20970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20958 and 20970. First we will calculate the prime factors of 20958 and 20970.

Prime Factorization of 20958

Prime Factorization of 20970

Now multiplying the highest exponent prime factors to calculate the LCM of 20958 and 20970.

LCM(20958,20970) = 2¹ × 3² × 7¹ × 499¹ × 5¹ × 233¹
LCM(20958,20970) = 73248210