What is the Least Common Multiple of 73804 and 73815?

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 73804 and 73815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73804 and 73815, than apply into the LCM equation.

GCF(73804,73815) = 1
LCM(73804,73815) = ( 73804 × 73815) / 1
LCM(73804,73815) = 5447842260 / 1
LCM(73804,73815) = 5447842260

Least Common Multiple (LCM) of 73804 and 73815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73804 and 73815. First we will calculate the prime factors of 73804 and 73815.

Prime Factorization of 73804

Prime Factorization of 73815

Now multiplying the highest exponent prime factors to calculate the LCM of 73804 and 73815.

LCM(73804,73815) = 2² × 18451¹ × 3¹ × 5¹ × 7¹ × 19¹ × 37¹
LCM(73804,73815) = 5447842260