What is the Least Common Multiple of 93485 and 93502?

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 93485 and 93502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93485 and 93502, than apply into the LCM equation.

GCF(93485,93502) = 1
LCM(93485,93502) = ( 93485 × 93502) / 1
LCM(93485,93502) = 8741034470 / 1
LCM(93485,93502) = 8741034470

Least Common Multiple (LCM) of 93485 and 93502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93485 and 93502. First we will calculate the prime factors of 93485 and 93502.

Prime Factorization of 93485

Prime Factorization of 93502

Now multiplying the highest exponent prime factors to calculate the LCM of 93485 and 93502.

LCM(93485,93502) = 5¹ × 7¹ × 2671¹ × 2¹ × 46751¹
LCM(93485,93502) = 8741034470