What is the Least Common Multiple of 43548 and 43560?

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 43548 and 43560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43548 and 43560, than apply into the LCM equation.

GCF(43548,43560) = 12
LCM(43548,43560) = ( 43548 × 43560) / 12
LCM(43548,43560) = 1896950880 / 12
LCM(43548,43560) = 158079240

Least Common Multiple (LCM) of 43548 and 43560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43548 and 43560. First we will calculate the prime factors of 43548 and 43560.

Prime Factorization of 43548

Prime Factorization of 43560

Now multiplying the highest exponent prime factors to calculate the LCM of 43548 and 43560.

LCM(43548,43560) = 2³ × 3² × 19¹ × 191¹ × 5¹ × 11²
LCM(43548,43560) = 158079240