What is the Least Common Multiple of 85945 and 85960?

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 85945 and 85960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85945 and 85960, than apply into the LCM equation.

GCF(85945,85960) = 5
LCM(85945,85960) = ( 85945 × 85960) / 5
LCM(85945,85960) = 7387832200 / 5
LCM(85945,85960) = 1477566440

Least Common Multiple (LCM) of 85945 and 85960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85945 and 85960. First we will calculate the prime factors of 85945 and 85960.

Prime Factorization of 85945

Prime Factorization of 85960

Now multiplying the highest exponent prime factors to calculate the LCM of 85945 and 85960.

LCM(85945,85960) = 5¹ × 17189¹ × 2³ × 7¹ × 307¹
LCM(85945,85960) = 1477566440