What is the Least Common Multiple of 45769 and 45788?

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 45769 and 45788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45769 and 45788, than apply into the LCM equation.

GCF(45769,45788) = 1
LCM(45769,45788) = ( 45769 × 45788) / 1
LCM(45769,45788) = 2095670972 / 1
LCM(45769,45788) = 2095670972

Least Common Multiple (LCM) of 45769 and 45788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45769 and 45788. First we will calculate the prime factors of 45769 and 45788.

Prime Factorization of 45769

Prime Factorization of 45788

Now multiplying the highest exponent prime factors to calculate the LCM of 45769 and 45788.

LCM(45769,45788) = 37¹ × 1237¹ × 2² × 11447¹
LCM(45769,45788) = 2095670972