What is the Least Common Multiple of 45680 and 45698?

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 45698 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 45698, than apply into the LCM equation.

GCF(45680,45698) = 2
LCM(45680,45698) = ( 45680 × 45698) / 2
LCM(45680,45698) = 2087484640 / 2
LCM(45680,45698) = 1043742320

Least Common Multiple (LCM) of 45680 and 45698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45680 and 45698. First we will calculate the prime factors of 45680 and 45698.

Prime Factorization of 45680

Prime Factorization of 45698

Now multiplying the highest exponent prime factors to calculate the LCM of 45680 and 45698.

LCM(45680,45698) = 2⁴ × 5¹ × 571¹ × 73¹ × 313¹
LCM(45680,45698) = 1043742320