What is the Least Common Multiple of 93478 and 93485?

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 93478 and 93485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93478 and 93485, than apply into the LCM equation.

GCF(93478,93485) = 7
LCM(93478,93485) = ( 93478 × 93485) / 7
LCM(93478,93485) = 8738790830 / 7
LCM(93478,93485) = 1248398690

Least Common Multiple (LCM) of 93478 and 93485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93478 and 93485. First we will calculate the prime factors of 93478 and 93485.

Prime Factorization of 93478

Prime Factorization of 93485

Now multiplying the highest exponent prime factors to calculate the LCM of 93478 and 93485.

LCM(93478,93485) = 2¹ × 7¹ × 11¹ × 607¹ × 5¹ × 2671¹
LCM(93478,93485) = 1248398690