What is the Least Common Multiple of 81904 and 81921?

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 81904 and 81921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81904 and 81921, than apply into the LCM equation.

GCF(81904,81921) = 1
LCM(81904,81921) = ( 81904 × 81921) / 1
LCM(81904,81921) = 6709657584 / 1
LCM(81904,81921) = 6709657584

Least Common Multiple (LCM) of 81904 and 81921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81904 and 81921. First we will calculate the prime factors of 81904 and 81921.

Prime Factorization of 81904

Prime Factorization of 81921

Now multiplying the highest exponent prime factors to calculate the LCM of 81904 and 81921.

LCM(81904,81921) = 2⁴ × 5119¹ × 3¹ × 7¹ × 47¹ × 83¹
LCM(81904,81921) = 6709657584