What is the Least Common Multiple of 45809 and 45820?

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 45809 and 45820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45809 and 45820, than apply into the LCM equation.

GCF(45809,45820) = 1
LCM(45809,45820) = ( 45809 × 45820) / 1
LCM(45809,45820) = 2098968380 / 1
LCM(45809,45820) = 2098968380

Least Common Multiple (LCM) of 45809 and 45820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45809 and 45820. First we will calculate the prime factors of 45809 and 45820.

Prime Factorization of 45809

Prime Factorization of 45820

Now multiplying the highest exponent prime factors to calculate the LCM of 45809 and 45820.

LCM(45809,45820) = 19¹ × 2411¹ × 2² × 5¹ × 29¹ × 79¹
LCM(45809,45820) = 2098968380