What is the Least Common Multiple of 20954 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 20954 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 20954 and 20970, than apply into the LCM equation.

GCF(20954,20970) = 2
LCM(20954,20970) = ( 20954 × 20970) / 2
LCM(20954,20970) = 439405380 / 2
LCM(20954,20970) = 219702690

Least Common Multiple (LCM) of 20954 and 20970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20954 and 20970. First we will calculate the prime factors of 20954 and 20970.

Prime Factorization of 20954

Prime Factorization of 20970

Now multiplying the highest exponent prime factors to calculate the LCM of 20954 and 20970.

LCM(20954,20970) = 2¹ × 10477¹ × 3² × 5¹ × 233¹
LCM(20954,20970) = 219702690