What is the Least Common Multiple of 33758 and 33777?

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 33758 and 33777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33758 and 33777, than apply into the LCM equation.

GCF(33758,33777) = 1
LCM(33758,33777) = ( 33758 × 33777) / 1
LCM(33758,33777) = 1140243966 / 1
LCM(33758,33777) = 1140243966

Least Common Multiple (LCM) of 33758 and 33777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33758 and 33777. First we will calculate the prime factors of 33758 and 33777.

Prime Factorization of 33758

Prime Factorization of 33777

Now multiplying the highest exponent prime factors to calculate the LCM of 33758 and 33777.

LCM(33758,33777) = 2¹ × 16879¹ × 3⁵ × 139¹
LCM(33758,33777) = 1140243966