What is the Least Common Multiple of 43722 and 43738?

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 43722 and 43738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43722 and 43738, than apply into the LCM equation.

GCF(43722,43738) = 2
LCM(43722,43738) = ( 43722 × 43738) / 2
LCM(43722,43738) = 1912312836 / 2
LCM(43722,43738) = 956156418

Least Common Multiple (LCM) of 43722 and 43738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43722 and 43738. First we will calculate the prime factors of 43722 and 43738.

Prime Factorization of 43722

Prime Factorization of 43738

Now multiplying the highest exponent prime factors to calculate the LCM of 43722 and 43738.

LCM(43722,43738) = 2¹ × 3² × 7¹ × 347¹ × 19¹ × 1151¹
LCM(43722,43738) = 956156418