What is the Least Common Multiple of 33740 and 33758?

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 33758 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 33758, than apply into the LCM equation.

GCF(33740,33758) = 2
LCM(33740,33758) = ( 33740 × 33758) / 2
LCM(33740,33758) = 1138994920 / 2
LCM(33740,33758) = 569497460

Least Common Multiple (LCM) of 33740 and 33758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33740 and 33758. First we will calculate the prime factors of 33740 and 33758.

Prime Factorization of 33740

Prime Factorization of 33758

Now multiplying the highest exponent prime factors to calculate the LCM of 33740 and 33758.

LCM(33740,33758) = 2² × 5¹ × 7¹ × 241¹ × 16879¹
LCM(33740,33758) = 569497460