What is the Least Common Multiple of 33960 and 33971?

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 33971 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 33971, than apply into the LCM equation.

GCF(33960,33971) = 1
LCM(33960,33971) = ( 33960 × 33971) / 1
LCM(33960,33971) = 1153655160 / 1
LCM(33960,33971) = 1153655160

Least Common Multiple (LCM) of 33960 and 33971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33960 and 33971. First we will calculate the prime factors of 33960 and 33971.

Prime Factorization of 33960

Prime Factorization of 33971

Now multiplying the highest exponent prime factors to calculate the LCM of 33960 and 33971.

LCM(33960,33971) = 2³ × 3¹ × 5¹ × 283¹ × 7¹ × 23¹ × 211¹
LCM(33960,33971) = 1153655160