What is the Least Common Multiple of 93760 and 93768?

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 93760 and 93768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93760 and 93768, than apply into the LCM equation.

GCF(93760,93768) = 8
LCM(93760,93768) = ( 93760 × 93768) / 8
LCM(93760,93768) = 8791687680 / 8
LCM(93760,93768) = 1098960960

Least Common Multiple (LCM) of 93760 and 93768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93760 and 93768. First we will calculate the prime factors of 93760 and 93768.

Prime Factorization of 93760

Prime Factorization of 93768

Now multiplying the highest exponent prime factors to calculate the LCM of 93760 and 93768.

LCM(93760,93768) = 2⁶ × 5¹ × 293¹ × 3¹ × 3907¹
LCM(93760,93768) = 1098960960