What is the Least Common Multiple of 45825 and 45830?

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 45825 and 45830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45825 and 45830, than apply into the LCM equation.

GCF(45825,45830) = 5
LCM(45825,45830) = ( 45825 × 45830) / 5
LCM(45825,45830) = 2100159750 / 5
LCM(45825,45830) = 420031950

Least Common Multiple (LCM) of 45825 and 45830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45825 and 45830. First we will calculate the prime factors of 45825 and 45830.

Prime Factorization of 45825

Prime Factorization of 45830

Now multiplying the highest exponent prime factors to calculate the LCM of 45825 and 45830.

LCM(45825,45830) = 3¹ × 5² × 13¹ × 47¹ × 2¹ × 4583¹
LCM(45825,45830) = 420031950