What is the Least Common Multiple of 93570 and 93575?

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 93570 and 93575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93570 and 93575, than apply into the LCM equation.

GCF(93570,93575) = 5
LCM(93570,93575) = ( 93570 × 93575) / 5
LCM(93570,93575) = 8755812750 / 5
LCM(93570,93575) = 1751162550

Least Common Multiple (LCM) of 93570 and 93575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93570 and 93575. First we will calculate the prime factors of 93570 and 93575.

Prime Factorization of 93570

Prime Factorization of 93575

Now multiplying the highest exponent prime factors to calculate the LCM of 93570 and 93575.

LCM(93570,93575) = 2¹ × 3¹ × 5² × 3119¹ × 19¹ × 197¹
LCM(93570,93575) = 1751162550