What is the Least Common Multiple of 43968 and 43980?

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 43968 and 43980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43968 and 43980, than apply into the LCM equation.

GCF(43968,43980) = 12
LCM(43968,43980) = ( 43968 × 43980) / 12
LCM(43968,43980) = 1933712640 / 12
LCM(43968,43980) = 161142720

Least Common Multiple (LCM) of 43968 and 43980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43968 and 43980. First we will calculate the prime factors of 43968 and 43980.

Prime Factorization of 43968

Prime Factorization of 43980

Now multiplying the highest exponent prime factors to calculate the LCM of 43968 and 43980.

LCM(43968,43980) = 2⁶ × 3¹ × 229¹ × 5¹ × 733¹
LCM(43968,43980) = 161142720