What is the Least Common Multiple of 33940 and 33960?

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 33940 and 33960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33940 and 33960, than apply into the LCM equation.

GCF(33940,33960) = 20
LCM(33940,33960) = ( 33940 × 33960) / 20
LCM(33940,33960) = 1152602400 / 20
LCM(33940,33960) = 57630120

Least Common Multiple (LCM) of 33940 and 33960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33940 and 33960. First we will calculate the prime factors of 33940 and 33960.

Prime Factorization of 33940

Prime Factorization of 33960

Now multiplying the highest exponent prime factors to calculate the LCM of 33940 and 33960.

LCM(33940,33960) = 2³ × 5¹ × 1697¹ × 3¹ × 283¹
LCM(33940,33960) = 57630120