What is the Least Common Multiple of 72990 and 73009?

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 72990 and 73009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72990 and 73009, than apply into the LCM equation.

GCF(72990,73009) = 1
LCM(72990,73009) = ( 72990 × 73009) / 1
LCM(72990,73009) = 5328926910 / 1
LCM(72990,73009) = 5328926910

Least Common Multiple (LCM) of 72990 and 73009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72990 and 73009. First we will calculate the prime factors of 72990 and 73009.

Prime Factorization of 72990

Prime Factorization of 73009

Now multiplying the highest exponent prime factors to calculate the LCM of 72990 and 73009.

LCM(72990,73009) = 2¹ × 3² × 5¹ × 811¹ × 73009¹
LCM(72990,73009) = 5328926910