What is the Least Common Multiple of 83028 and 83048?

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 83028 and 83048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83028 and 83048, than apply into the LCM equation.

GCF(83028,83048) = 4
LCM(83028,83048) = ( 83028 × 83048) / 4
LCM(83028,83048) = 6895309344 / 4
LCM(83028,83048) = 1723827336

Least Common Multiple (LCM) of 83028 and 83048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83028 and 83048. First we will calculate the prime factors of 83028 and 83048.

Prime Factorization of 83028

Prime Factorization of 83048

Now multiplying the highest exponent prime factors to calculate the LCM of 83028 and 83048.

LCM(83028,83048) = 2³ × 3¹ × 11¹ × 17¹ × 37¹ × 7¹ × 1483¹
LCM(83028,83048) = 1723827336