What is the Least Common Multiple of 80052 and 80067?

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 80052 and 80067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80052 and 80067, than apply into the LCM equation.

GCF(80052,80067) = 3
LCM(80052,80067) = ( 80052 × 80067) / 3
LCM(80052,80067) = 6409523484 / 3
LCM(80052,80067) = 2136507828

Least Common Multiple (LCM) of 80052 and 80067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80052 and 80067. First we will calculate the prime factors of 80052 and 80067.

Prime Factorization of 80052

Prime Factorization of 80067

Now multiplying the highest exponent prime factors to calculate the LCM of 80052 and 80067.

LCM(80052,80067) = 2² × 3¹ × 7¹ × 953¹ × 13¹ × 2053¹
LCM(80052,80067) = 2136507828