What is the Least Common Multiple of 33740 and 33754?

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 33740 and 33754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33740 and 33754, than apply into the LCM equation.

GCF(33740,33754) = 14
LCM(33740,33754) = ( 33740 × 33754) / 14
LCM(33740,33754) = 1138859960 / 14
LCM(33740,33754) = 81347140

Least Common Multiple (LCM) of 33740 and 33754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33740 and 33754. First we will calculate the prime factors of 33740 and 33754.

Prime Factorization of 33740

Prime Factorization of 33754

Now multiplying the highest exponent prime factors to calculate the LCM of 33740 and 33754.

LCM(33740,33754) = 2² × 5¹ × 7¹ × 241¹ × 2411¹
LCM(33740,33754) = 81347140