What is the Least Common Multiple of 33960 and 33965?

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 33960 and 33965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33960 and 33965, than apply into the LCM equation.

GCF(33960,33965) = 5
LCM(33960,33965) = ( 33960 × 33965) / 5
LCM(33960,33965) = 1153451400 / 5
LCM(33960,33965) = 230690280

Least Common Multiple (LCM) of 33960 and 33965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33960 and 33965. First we will calculate the prime factors of 33960 and 33965.

Prime Factorization of 33960

Prime Factorization of 33965

Now multiplying the highest exponent prime factors to calculate the LCM of 33960 and 33965.

LCM(33960,33965) = 2³ × 3¹ × 5¹ × 283¹ × 6793¹
LCM(33960,33965) = 230690280