What is the Least Common Multiple of 39824 and 39833?

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 39824 and 39833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39824 and 39833, than apply into the LCM equation.

GCF(39824,39833) = 1
LCM(39824,39833) = ( 39824 × 39833) / 1
LCM(39824,39833) = 1586309392 / 1
LCM(39824,39833) = 1586309392

Least Common Multiple (LCM) of 39824 and 39833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39824 and 39833. First we will calculate the prime factors of 39824 and 39833.

Prime Factorization of 39824

Prime Factorization of 39833

Now multiplying the highest exponent prime factors to calculate the LCM of 39824 and 39833.

LCM(39824,39833) = 2⁴ × 19¹ × 131¹ × 61¹ × 653¹
LCM(39824,39833) = 1586309392