What is the Least Common Multiple of 93756 and 93760?

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 93756 and 93760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93756 and 93760, than apply into the LCM equation.

GCF(93756,93760) = 4
LCM(93756,93760) = ( 93756 × 93760) / 4
LCM(93756,93760) = 8790562560 / 4
LCM(93756,93760) = 2197640640

Least Common Multiple (LCM) of 93756 and 93760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93756 and 93760. First we will calculate the prime factors of 93756 and 93760.

Prime Factorization of 93756

Prime Factorization of 93760

Now multiplying the highest exponent prime factors to calculate the LCM of 93756 and 93760.

LCM(93756,93760) = 2⁶ × 3¹ × 13¹ × 601¹ × 5¹ × 293¹
LCM(93756,93760) = 2197640640