What is the Least Common Multiple of 33949 and 33966?

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 33949 and 33966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33949 and 33966, than apply into the LCM equation.

GCF(33949,33966) = 17
LCM(33949,33966) = ( 33949 × 33966) / 17
LCM(33949,33966) = 1153111734 / 17
LCM(33949,33966) = 67830102

Least Common Multiple (LCM) of 33949 and 33966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33949 and 33966. First we will calculate the prime factors of 33949 and 33966.

Prime Factorization of 33949

Prime Factorization of 33966

Now multiplying the highest exponent prime factors to calculate the LCM of 33949 and 33966.

LCM(33949,33966) = 17¹ × 1997¹ × 2¹ × 3³ × 37¹
LCM(33949,33966) = 67830102