What is the Least Common Multiple of 93510 and 93519?

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 93510 and 93519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93510 and 93519, than apply into the LCM equation.

GCF(93510,93519) = 9
LCM(93510,93519) = ( 93510 × 93519) / 9
LCM(93510,93519) = 8744961690 / 9
LCM(93510,93519) = 971662410

Least Common Multiple (LCM) of 93510 and 93519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93510 and 93519. First we will calculate the prime factors of 93510 and 93519.

Prime Factorization of 93510

Prime Factorization of 93519

Now multiplying the highest exponent prime factors to calculate the LCM of 93510 and 93519.

LCM(93510,93519) = 2¹ × 3² × 5¹ × 1039¹ × 10391¹
LCM(93510,93519) = 971662410