What is the Least Common Multiple of 93660 and 93678?

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 93660 and 93678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93660 and 93678, than apply into the LCM equation.

GCF(93660,93678) = 6
LCM(93660,93678) = ( 93660 × 93678) / 6
LCM(93660,93678) = 8773881480 / 6
LCM(93660,93678) = 1462313580

Least Common Multiple (LCM) of 93660 and 93678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93660 and 93678. First we will calculate the prime factors of 93660 and 93678.

Prime Factorization of 93660

Prime Factorization of 93678

Now multiplying the highest exponent prime factors to calculate the LCM of 93660 and 93678.

LCM(93660,93678) = 2² × 3¹ × 5¹ × 7¹ × 223¹ × 13¹ × 1201¹
LCM(93660,93678) = 1462313580