What is the Least Common Multiple of 43946 and 43961?

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 43946 and 43961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43946 and 43961, than apply into the LCM equation.

GCF(43946,43961) = 1
LCM(43946,43961) = ( 43946 × 43961) / 1
LCM(43946,43961) = 1931910106 / 1
LCM(43946,43961) = 1931910106

Least Common Multiple (LCM) of 43946 and 43961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43946 and 43961. First we will calculate the prime factors of 43946 and 43961.

Prime Factorization of 43946

Prime Factorization of 43961

Now multiplying the highest exponent prime factors to calculate the LCM of 43946 and 43961.

LCM(43946,43961) = 2¹ × 7¹ × 43¹ × 73¹ × 43961¹
LCM(43946,43961) = 1931910106