What is the Least Common Multiple of 45840 and 45860?

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 45840 and 45860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45840 and 45860, than apply into the LCM equation.

GCF(45840,45860) = 20
LCM(45840,45860) = ( 45840 × 45860) / 20
LCM(45840,45860) = 2102222400 / 20
LCM(45840,45860) = 105111120

Least Common Multiple (LCM) of 45840 and 45860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45840 and 45860. First we will calculate the prime factors of 45840 and 45860.

Prime Factorization of 45840

Prime Factorization of 45860

Now multiplying the highest exponent prime factors to calculate the LCM of 45840 and 45860.

LCM(45840,45860) = 2⁴ × 3¹ × 5¹ × 191¹ × 2293¹
LCM(45840,45860) = 105111120