What is the Least Common Multiple of 72002 and 72009?

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 72002 and 72009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72002 and 72009, than apply into the LCM equation.

GCF(72002,72009) = 7
LCM(72002,72009) = ( 72002 × 72009) / 7
LCM(72002,72009) = 5184792018 / 7
LCM(72002,72009) = 740684574

Least Common Multiple (LCM) of 72002 and 72009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72002 and 72009. First we will calculate the prime factors of 72002 and 72009.

Prime Factorization of 72002

Prime Factorization of 72009

Now multiplying the highest exponent prime factors to calculate the LCM of 72002 and 72009.

LCM(72002,72009) = 2¹ × 7¹ × 37¹ × 139¹ × 3⁴ × 127¹
LCM(72002,72009) = 740684574