What is the Least Common Multiple of 34666 and 34681?

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 34666 and 34681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34666 and 34681, than apply into the LCM equation.

GCF(34666,34681) = 1
LCM(34666,34681) = ( 34666 × 34681) / 1
LCM(34666,34681) = 1202251546 / 1
LCM(34666,34681) = 1202251546

Least Common Multiple (LCM) of 34666 and 34681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34666 and 34681. First we will calculate the prime factors of 34666 and 34681.

Prime Factorization of 34666

Prime Factorization of 34681

Now multiplying the highest exponent prime factors to calculate the LCM of 34666 and 34681.

LCM(34666,34681) = 2¹ × 17333¹ × 79¹ × 439¹
LCM(34666,34681) = 1202251546