What is the Least Common Multiple of 93945 and 93964?

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 93964 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 93964, than apply into the LCM equation.

GCF(93945,93964) = 1
LCM(93945,93964) = ( 93945 × 93964) / 1
LCM(93945,93964) = 8827447980 / 1
LCM(93945,93964) = 8827447980

Least Common Multiple (LCM) of 93945 and 93964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93945 and 93964. First we will calculate the prime factors of 93945 and 93964.

Prime Factorization of 93945

Prime Factorization of 93964

Now multiplying the highest exponent prime factors to calculate the LCM of 93945 and 93964.

LCM(93945,93964) = 3¹ × 5¹ × 6263¹ × 2² × 13² × 139¹
LCM(93945,93964) = 8827447980