What is the Least Common Multiple of 33040 and 33054?

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 33040 and 33054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33040 and 33054, than apply into the LCM equation.

GCF(33040,33054) = 14
LCM(33040,33054) = ( 33040 × 33054) / 14
LCM(33040,33054) = 1092104160 / 14
LCM(33040,33054) = 78007440

Least Common Multiple (LCM) of 33040 and 33054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33040 and 33054. First we will calculate the prime factors of 33040 and 33054.

Prime Factorization of 33040

Prime Factorization of 33054

Now multiplying the highest exponent prime factors to calculate the LCM of 33040 and 33054.

LCM(33040,33054) = 2⁴ × 5¹ × 7¹ × 59¹ × 3¹ × 787¹
LCM(33040,33054) = 78007440