What is the Least Common Multiple of 22950 and 22965?

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 22950 and 22965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22950 and 22965, than apply into the LCM equation.

GCF(22950,22965) = 15
LCM(22950,22965) = ( 22950 × 22965) / 15
LCM(22950,22965) = 527046750 / 15
LCM(22950,22965) = 35136450

Least Common Multiple (LCM) of 22950 and 22965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22950 and 22965. First we will calculate the prime factors of 22950 and 22965.

Prime Factorization of 22950

Prime Factorization of 22965

Now multiplying the highest exponent prime factors to calculate the LCM of 22950 and 22965.

LCM(22950,22965) = 2¹ × 3³ × 5² × 17¹ × 1531¹
LCM(22950,22965) = 35136450