What is the Least Common Multiple of 73890 and 73909?

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 73890 and 73909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73890 and 73909, than apply into the LCM equation.

GCF(73890,73909) = 1
LCM(73890,73909) = ( 73890 × 73909) / 1
LCM(73890,73909) = 5461136010 / 1
LCM(73890,73909) = 5461136010

Least Common Multiple (LCM) of 73890 and 73909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73890 and 73909. First we will calculate the prime factors of 73890 and 73909.

Prime Factorization of 73890

Prime Factorization of 73909

Now multiplying the highest exponent prime factors to calculate the LCM of 73890 and 73909.

LCM(73890,73909) = 2¹ × 3² × 5¹ × 821¹ × 11¹ × 6719¹
LCM(73890,73909) = 5461136010