What is the Least Common Multiple of 83905 and 83921?

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 83905 and 83921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83905 and 83921, than apply into the LCM equation.

GCF(83905,83921) = 1
LCM(83905,83921) = ( 83905 × 83921) / 1
LCM(83905,83921) = 7041391505 / 1
LCM(83905,83921) = 7041391505

Least Common Multiple (LCM) of 83905 and 83921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83905 and 83921. First we will calculate the prime factors of 83905 and 83921.

Prime Factorization of 83905

Prime Factorization of 83921

Now multiplying the highest exponent prime factors to calculate the LCM of 83905 and 83921.

LCM(83905,83921) = 5¹ × 97¹ × 173¹ × 83921¹
LCM(83905,83921) = 7041391505