What is the Least Common Multiple of 93065 and 93085?

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 93065 and 93085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93065 and 93085, than apply into the LCM equation.

GCF(93065,93085) = 5
LCM(93065,93085) = ( 93065 × 93085) / 5
LCM(93065,93085) = 8662955525 / 5
LCM(93065,93085) = 1732591105

Least Common Multiple (LCM) of 93065 and 93085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93065 and 93085. First we will calculate the prime factors of 93065 and 93085.

Prime Factorization of 93065

Prime Factorization of 93085

Now multiplying the highest exponent prime factors to calculate the LCM of 93065 and 93085.

LCM(93065,93085) = 5¹ × 7¹ × 2659¹ × 18617¹
LCM(93065,93085) = 1732591105