What is the Least Common Multiple of 43980 and 43994?

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 43980 and 43994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43980 and 43994, than apply into the LCM equation.

GCF(43980,43994) = 2
LCM(43980,43994) = ( 43980 × 43994) / 2
LCM(43980,43994) = 1934856120 / 2
LCM(43980,43994) = 967428060

Least Common Multiple (LCM) of 43980 and 43994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43980 and 43994. First we will calculate the prime factors of 43980 and 43994.

Prime Factorization of 43980

Prime Factorization of 43994

Now multiplying the highest exponent prime factors to calculate the LCM of 43980 and 43994.

LCM(43980,43994) = 2² × 3¹ × 5¹ × 733¹ × 21997¹
LCM(43980,43994) = 967428060