What is the Least Common Multiple of 93905 and 93922?

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 93905 and 93922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93905 and 93922, than apply into the LCM equation.

GCF(93905,93922) = 1
LCM(93905,93922) = ( 93905 × 93922) / 1
LCM(93905,93922) = 8819745410 / 1
LCM(93905,93922) = 8819745410

Least Common Multiple (LCM) of 93905 and 93922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93905 and 93922. First we will calculate the prime factors of 93905 and 93922.

Prime Factorization of 93905

Prime Factorization of 93922

Now multiplying the highest exponent prime factors to calculate the LCM of 93905 and 93922.

LCM(93905,93922) = 5¹ × 7¹ × 2683¹ × 2¹ × 151¹ × 311¹
LCM(93905,93922) = 8819745410