What is the Least Common Multiple of 83052 and 83060?

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 83052 and 83060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83052 and 83060, than apply into the LCM equation.

GCF(83052,83060) = 4
LCM(83052,83060) = ( 83052 × 83060) / 4
LCM(83052,83060) = 6898299120 / 4
LCM(83052,83060) = 1724574780

Least Common Multiple (LCM) of 83052 and 83060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83052 and 83060. First we will calculate the prime factors of 83052 and 83060.

Prime Factorization of 83052

Prime Factorization of 83060

Now multiplying the highest exponent prime factors to calculate the LCM of 83052 and 83060.

LCM(83052,83060) = 2² × 3³ × 769¹ × 5¹ × 4153¹
LCM(83052,83060) = 1724574780