What is the Least Common Multiple of 20950 and 20965?

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 20950 and 20965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20950 and 20965, than apply into the LCM equation.

GCF(20950,20965) = 5
LCM(20950,20965) = ( 20950 × 20965) / 5
LCM(20950,20965) = 439216750 / 5
LCM(20950,20965) = 87843350

Least Common Multiple (LCM) of 20950 and 20965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20950 and 20965. First we will calculate the prime factors of 20950 and 20965.

Prime Factorization of 20950

Prime Factorization of 20965

Now multiplying the highest exponent prime factors to calculate the LCM of 20950 and 20965.

LCM(20950,20965) = 2¹ × 5² × 419¹ × 7¹ × 599¹
LCM(20950,20965) = 87843350