What is the Least Common Multiple of 45743 and 45752?

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 45743 and 45752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45743 and 45752, than apply into the LCM equation.

GCF(45743,45752) = 1
LCM(45743,45752) = ( 45743 × 45752) / 1
LCM(45743,45752) = 2092833736 / 1
LCM(45743,45752) = 2092833736

Least Common Multiple (LCM) of 45743 and 45752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45743 and 45752. First we will calculate the prime factors of 45743 and 45752.

Prime Factorization of 45743

Prime Factorization of 45752

Now multiplying the highest exponent prime factors to calculate the LCM of 45743 and 45752.

LCM(45743,45752) = 149¹ × 307¹ × 2³ × 7¹ × 19¹ × 43¹
LCM(45743,45752) = 2092833736