What is the Least Common Multiple of 80040 and 80052?

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 80040 and 80052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80040 and 80052, than apply into the LCM equation.

GCF(80040,80052) = 12
LCM(80040,80052) = ( 80040 × 80052) / 12
LCM(80040,80052) = 6407362080 / 12
LCM(80040,80052) = 533946840

Least Common Multiple (LCM) of 80040 and 80052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80040 and 80052. First we will calculate the prime factors of 80040 and 80052.

Prime Factorization of 80040

Prime Factorization of 80052

Now multiplying the highest exponent prime factors to calculate the LCM of 80040 and 80052.

LCM(80040,80052) = 2³ × 3¹ × 5¹ × 23¹ × 29¹ × 7¹ × 953¹
LCM(80040,80052) = 533946840