What is the Least Common Multiple of 43446 and 43452?

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 43446 and 43452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43446 and 43452, than apply into the LCM equation.

GCF(43446,43452) = 6
LCM(43446,43452) = ( 43446 × 43452) / 6
LCM(43446,43452) = 1887815592 / 6
LCM(43446,43452) = 314635932

Least Common Multiple (LCM) of 43446 and 43452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43446 and 43452. First we will calculate the prime factors of 43446 and 43452.

Prime Factorization of 43446

Prime Factorization of 43452

Now multiplying the highest exponent prime factors to calculate the LCM of 43446 and 43452.

LCM(43446,43452) = 2² × 3² × 13¹ × 557¹ × 17¹ × 71¹
LCM(43446,43452) = 314635932