What is the Least Common Multiple of 93054 and 93066?

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 93054 and 93066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93054 and 93066, than apply into the LCM equation.

GCF(93054,93066) = 6
LCM(93054,93066) = ( 93054 × 93066) / 6
LCM(93054,93066) = 8660163564 / 6
LCM(93054,93066) = 1443360594

Least Common Multiple (LCM) of 93054 and 93066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93054 and 93066. First we will calculate the prime factors of 93054 and 93066.

Prime Factorization of 93054

Prime Factorization of 93066

Now multiplying the highest exponent prime factors to calculate the LCM of 93054 and 93066.

LCM(93054,93066) = 2¹ × 3¹ × 13¹ × 1193¹ × 15511¹
LCM(93054,93066) = 1443360594