What is the Least Common Multiple of 81933 and 81938?

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 81933 and 81938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81933 and 81938, than apply into the LCM equation.

GCF(81933,81938) = 1
LCM(81933,81938) = ( 81933 × 81938) / 1
LCM(81933,81938) = 6713426154 / 1
LCM(81933,81938) = 6713426154

Least Common Multiple (LCM) of 81933 and 81938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81933 and 81938. First we will calculate the prime factors of 81933 and 81938.

Prime Factorization of 81933

Prime Factorization of 81938

Now multiplying the highest exponent prime factors to calculate the LCM of 81933 and 81938.

LCM(81933,81938) = 3¹ × 31¹ × 881¹ × 2¹ × 53¹ × 773¹
LCM(81933,81938) = 6713426154