What is the Least Common Multiple of 73805 and 73820?

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 73805 and 73820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73805 and 73820, than apply into the LCM equation.

GCF(73805,73820) = 5
LCM(73805,73820) = ( 73805 × 73820) / 5
LCM(73805,73820) = 5448285100 / 5
LCM(73805,73820) = 1089657020

Least Common Multiple (LCM) of 73805 and 73820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73805 and 73820. First we will calculate the prime factors of 73805 and 73820.

Prime Factorization of 73805

Prime Factorization of 73820

Now multiplying the highest exponent prime factors to calculate the LCM of 73805 and 73820.

LCM(73805,73820) = 5¹ × 29¹ × 509¹ × 2² × 3691¹
LCM(73805,73820) = 1089657020