What is the Least Common Multiple of 33946 and 33951?

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 33946 and 33951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33946 and 33951, than apply into the LCM equation.

GCF(33946,33951) = 1
LCM(33946,33951) = ( 33946 × 33951) / 1
LCM(33946,33951) = 1152500646 / 1
LCM(33946,33951) = 1152500646

Least Common Multiple (LCM) of 33946 and 33951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33946 and 33951. First we will calculate the prime factors of 33946 and 33951.

Prime Factorization of 33946

Prime Factorization of 33951

Now multiplying the highest exponent prime factors to calculate the LCM of 33946 and 33951.

LCM(33946,33951) = 2¹ × 11¹ × 1543¹ × 3¹ × 11317¹
LCM(33946,33951) = 1152500646