What is the Least Common Multiple of 83032 and 83052?

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 83032 and 83052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83032 and 83052, than apply into the LCM equation.

GCF(83032,83052) = 4
LCM(83032,83052) = ( 83032 × 83052) / 4
LCM(83032,83052) = 6895973664 / 4
LCM(83032,83052) = 1723993416

Least Common Multiple (LCM) of 83032 and 83052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83032 and 83052. First we will calculate the prime factors of 83032 and 83052.

Prime Factorization of 83032

Prime Factorization of 83052

Now multiplying the highest exponent prime factors to calculate the LCM of 83032 and 83052.

LCM(83032,83052) = 2³ × 97¹ × 107¹ × 3³ × 769¹
LCM(83032,83052) = 1723993416