What is the Least Common Multiple of 45805 and 45821?

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 45805 and 45821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45805 and 45821, than apply into the LCM equation.

GCF(45805,45821) = 1
LCM(45805,45821) = ( 45805 × 45821) / 1
LCM(45805,45821) = 2098830905 / 1
LCM(45805,45821) = 2098830905

Least Common Multiple (LCM) of 45805 and 45821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45805 and 45821. First we will calculate the prime factors of 45805 and 45821.

Prime Factorization of 45805

Prime Factorization of 45821

Now multiplying the highest exponent prime factors to calculate the LCM of 45805 and 45821.

LCM(45805,45821) = 5¹ × 9161¹ × 45821¹
LCM(45805,45821) = 2098830905