What is the Least Common Multiple of 81905 and 81924?

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 81905 and 81924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81905 and 81924, than apply into the LCM equation.

GCF(81905,81924) = 1
LCM(81905,81924) = ( 81905 × 81924) / 1
LCM(81905,81924) = 6709985220 / 1
LCM(81905,81924) = 6709985220

Least Common Multiple (LCM) of 81905 and 81924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81905 and 81924. First we will calculate the prime factors of 81905 and 81924.

Prime Factorization of 81905

Prime Factorization of 81924

Now multiplying the highest exponent prime factors to calculate the LCM of 81905 and 81924.

LCM(81905,81924) = 5¹ × 16381¹ × 2² × 3¹ × 6827¹
LCM(81905,81924) = 6709985220