What is the Least Common Multiple of 43990 and 44006?

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 43990 and 44006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43990 and 44006, than apply into the LCM equation.

GCF(43990,44006) = 2
LCM(43990,44006) = ( 43990 × 44006) / 2
LCM(43990,44006) = 1935823940 / 2
LCM(43990,44006) = 967911970

Least Common Multiple (LCM) of 43990 and 44006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43990 and 44006. First we will calculate the prime factors of 43990 and 44006.

Prime Factorization of 43990

Prime Factorization of 44006

Now multiplying the highest exponent prime factors to calculate the LCM of 43990 and 44006.

LCM(43990,44006) = 2¹ × 5¹ × 53¹ × 83¹ × 22003¹
LCM(43990,44006) = 967911970