What is the Least Common Multiple of 85950 and 85965?

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 85950 and 85965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85950 and 85965, than apply into the LCM equation.

GCF(85950,85965) = 15
LCM(85950,85965) = ( 85950 × 85965) / 15
LCM(85950,85965) = 7388691750 / 15
LCM(85950,85965) = 492579450

Least Common Multiple (LCM) of 85950 and 85965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85950 and 85965. First we will calculate the prime factors of 85950 and 85965.

Prime Factorization of 85950

Prime Factorization of 85965

Now multiplying the highest exponent prime factors to calculate the LCM of 85950 and 85965.

LCM(85950,85965) = 2¹ × 3² × 5² × 191¹ × 11¹ × 521¹
LCM(85950,85965) = 492579450