What is the Least Common Multiple of 45838 and 45845?

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 45838 and 45845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45838 and 45845, than apply into the LCM equation.

GCF(45838,45845) = 1
LCM(45838,45845) = ( 45838 × 45845) / 1
LCM(45838,45845) = 2101443110 / 1
LCM(45838,45845) = 2101443110

Least Common Multiple (LCM) of 45838 and 45845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45838 and 45845. First we will calculate the prime factors of 45838 and 45845.

Prime Factorization of 45838

Prime Factorization of 45845

Now multiplying the highest exponent prime factors to calculate the LCM of 45838 and 45845.

LCM(45838,45845) = 2¹ × 13¹ × 41¹ × 43¹ × 5¹ × 53¹ × 173¹
LCM(45838,45845) = 2101443110