What is the Least Common Multiple of 85965 and 85974?

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 85965 and 85974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85965 and 85974, than apply into the LCM equation.

GCF(85965,85974) = 3
LCM(85965,85974) = ( 85965 × 85974) / 3
LCM(85965,85974) = 7390754910 / 3
LCM(85965,85974) = 2463584970

Least Common Multiple (LCM) of 85965 and 85974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85965 and 85974. First we will calculate the prime factors of 85965 and 85974.

Prime Factorization of 85965

Prime Factorization of 85974

Now multiplying the highest exponent prime factors to calculate the LCM of 85965 and 85974.

LCM(85965,85974) = 3¹ × 5¹ × 11¹ × 521¹ × 2¹ × 7¹ × 23¹ × 89¹
LCM(85965,85974) = 2463584970