What is the Least Common Multiple of 92905 and 92921?

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 92905 and 92921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92905 and 92921, than apply into the LCM equation.

GCF(92905,92921) = 1
LCM(92905,92921) = ( 92905 × 92921) / 1
LCM(92905,92921) = 8632825505 / 1
LCM(92905,92921) = 8632825505

Least Common Multiple (LCM) of 92905 and 92921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92905 and 92921. First we will calculate the prime factors of 92905 and 92921.

Prime Factorization of 92905

Prime Factorization of 92921

Now multiplying the highest exponent prime factors to calculate the LCM of 92905 and 92921.

LCM(92905,92921) = 5¹ × 17¹ × 1093¹ × 92921¹
LCM(92905,92921) = 8632825505