What is the Least Common Multiple of 93492 and 93503?

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 93492 and 93503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93492 and 93503, than apply into the LCM equation.

GCF(93492,93503) = 1
LCM(93492,93503) = ( 93492 × 93503) / 1
LCM(93492,93503) = 8741782476 / 1
LCM(93492,93503) = 8741782476

Least Common Multiple (LCM) of 93492 and 93503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93492 and 93503. First we will calculate the prime factors of 93492 and 93503.

Prime Factorization of 93492

Prime Factorization of 93503

Now multiplying the highest exponent prime factors to calculate the LCM of 93492 and 93503.

LCM(93492,93503) = 2² × 3² × 7² × 53¹ × 93503¹
LCM(93492,93503) = 8741782476