What is the Least Common Multiple of 40807 and 40820?

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 40807 and 40820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40807 and 40820, than apply into the LCM equation.

GCF(40807,40820) = 13
LCM(40807,40820) = ( 40807 × 40820) / 13
LCM(40807,40820) = 1665741740 / 13
LCM(40807,40820) = 128133980

Least Common Multiple (LCM) of 40807 and 40820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40807 and 40820. First we will calculate the prime factors of 40807 and 40820.

Prime Factorization of 40807

Prime Factorization of 40820

Now multiplying the highest exponent prime factors to calculate the LCM of 40807 and 40820.

LCM(40807,40820) = 13¹ × 43¹ × 73¹ × 2² × 5¹ × 157¹
LCM(40807,40820) = 128133980