What is the Least Common Multiple of 45680 and 45699?

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 45680 and 45699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45680 and 45699, than apply into the LCM equation.

GCF(45680,45699) = 1
LCM(45680,45699) = ( 45680 × 45699) / 1
LCM(45680,45699) = 2087530320 / 1
LCM(45680,45699) = 2087530320

Least Common Multiple (LCM) of 45680 and 45699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45680 and 45699. First we will calculate the prime factors of 45680 and 45699.

Prime Factorization of 45680

Prime Factorization of 45699

Now multiplying the highest exponent prime factors to calculate the LCM of 45680 and 45699.

LCM(45680,45699) = 2⁴ × 5¹ × 571¹ × 3¹ × 15233¹
LCM(45680,45699) = 2087530320