What is the Least Common Multiple of 93945 and 93951?

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 93951 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 93951, than apply into the LCM equation.

GCF(93945,93951) = 3
LCM(93945,93951) = ( 93945 × 93951) / 3
LCM(93945,93951) = 8826226695 / 3
LCM(93945,93951) = 2942075565

Least Common Multiple (LCM) of 93945 and 93951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93945 and 93951. First we will calculate the prime factors of 93945 and 93951.

Prime Factorization of 93945

Prime Factorization of 93951

Now multiplying the highest exponent prime factors to calculate the LCM of 93945 and 93951.

LCM(93945,93951) = 3² × 5¹ × 6263¹ × 11¹ × 13¹ × 73¹
LCM(93945,93951) = 2942075565