What is the Least Common Multiple of 43140 and 43152?

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 43140 and 43152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43140 and 43152, than apply into the LCM equation.

GCF(43140,43152) = 12
LCM(43140,43152) = ( 43140 × 43152) / 12
LCM(43140,43152) = 1861577280 / 12
LCM(43140,43152) = 155131440

Least Common Multiple (LCM) of 43140 and 43152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43140 and 43152. First we will calculate the prime factors of 43140 and 43152.

Prime Factorization of 43140

Prime Factorization of 43152

Now multiplying the highest exponent prime factors to calculate the LCM of 43140 and 43152.

LCM(43140,43152) = 2⁴ × 3¹ × 5¹ × 719¹ × 29¹ × 31¹
LCM(43140,43152) = 155131440