What is the Least Common Multiple of 43946 and 43955?

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 43955 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 43955, than apply into the LCM equation.

GCF(43946,43955) = 1
LCM(43946,43955) = ( 43946 × 43955) / 1
LCM(43946,43955) = 1931646430 / 1
LCM(43946,43955) = 1931646430

Least Common Multiple (LCM) of 43946 and 43955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43946 and 43955. First we will calculate the prime factors of 43946 and 43955.

Prime Factorization of 43946

Prime Factorization of 43955

Now multiplying the highest exponent prime factors to calculate the LCM of 43946 and 43955.

LCM(43946,43955) = 2¹ × 7¹ × 43¹ × 73¹ × 5¹ × 59¹ × 149¹
LCM(43946,43955) = 1931646430