What is the Least Common Multiple of 45725 and 45743?

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 45725 and 45743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45725 and 45743, than apply into the LCM equation.

GCF(45725,45743) = 1
LCM(45725,45743) = ( 45725 × 45743) / 1
LCM(45725,45743) = 2091598675 / 1
LCM(45725,45743) = 2091598675

Least Common Multiple (LCM) of 45725 and 45743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45725 and 45743. First we will calculate the prime factors of 45725 and 45743.

Prime Factorization of 45725

Prime Factorization of 45743

Now multiplying the highest exponent prime factors to calculate the LCM of 45725 and 45743.

LCM(45725,45743) = 5² × 31¹ × 59¹ × 149¹ × 307¹
LCM(45725,45743) = 2091598675