What is the Least Common Multiple of 93760 and 93765?

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 93765 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 93765, than apply into the LCM equation.

GCF(93760,93765) = 5
LCM(93760,93765) = ( 93760 × 93765) / 5
LCM(93760,93765) = 8791406400 / 5
LCM(93760,93765) = 1758281280

Least Common Multiple (LCM) of 93760 and 93765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93760 and 93765. First we will calculate the prime factors of 93760 and 93765.

Prime Factorization of 93760

Prime Factorization of 93765

Now multiplying the highest exponent prime factors to calculate the LCM of 93760 and 93765.

LCM(93760,93765) = 2⁶ × 5¹ × 293¹ × 3¹ × 7¹ × 19¹ × 47¹
LCM(93760,93765) = 1758281280