What is the Least Common Multiple of 93945 and 93949?

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 93945 and 93949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93945 and 93949, than apply into the LCM equation.

GCF(93945,93949) = 1
LCM(93945,93949) = ( 93945 × 93949) / 1
LCM(93945,93949) = 8826038805 / 1
LCM(93945,93949) = 8826038805

Least Common Multiple (LCM) of 93945 and 93949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93945 and 93949. First we will calculate the prime factors of 93945 and 93949.

Prime Factorization of 93945

Prime Factorization of 93949

Now multiplying the highest exponent prime factors to calculate the LCM of 93945 and 93949.

LCM(93945,93949) = 3¹ × 5¹ × 6263¹ × 93949¹
LCM(93945,93949) = 8826038805