What is the Least Common Multiple of 43725 and 43743?

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 43725 and 43743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43725 and 43743, than apply into the LCM equation.

GCF(43725,43743) = 3
LCM(43725,43743) = ( 43725 × 43743) / 3
LCM(43725,43743) = 1912662675 / 3
LCM(43725,43743) = 637554225

Least Common Multiple (LCM) of 43725 and 43743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43725 and 43743. First we will calculate the prime factors of 43725 and 43743.

Prime Factorization of 43725

Prime Factorization of 43743

Now multiplying the highest exponent prime factors to calculate the LCM of 43725 and 43743.

LCM(43725,43743) = 3¹ × 5² × 11¹ × 53¹ × 7¹ × 2083¹
LCM(43725,43743) = 637554225