What is the Least Common Multiple of 45765 and 45785?

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 45765 and 45785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45765 and 45785, than apply into the LCM equation.

GCF(45765,45785) = 5
LCM(45765,45785) = ( 45765 × 45785) / 5
LCM(45765,45785) = 2095350525 / 5
LCM(45765,45785) = 419070105

Least Common Multiple (LCM) of 45765 and 45785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45765 and 45785. First we will calculate the prime factors of 45765 and 45785.

Prime Factorization of 45765

Prime Factorization of 45785

Now multiplying the highest exponent prime factors to calculate the LCM of 45765 and 45785.

LCM(45765,45785) = 3⁴ × 5¹ × 113¹ × 9157¹
LCM(45765,45785) = 419070105