What is the Least Common Multiple of 93765 and 93780?

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 93765 and 93780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93765 and 93780, than apply into the LCM equation.

GCF(93765,93780) = 15
LCM(93765,93780) = ( 93765 × 93780) / 15
LCM(93765,93780) = 8793281700 / 15
LCM(93765,93780) = 586218780

Least Common Multiple (LCM) of 93765 and 93780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93765 and 93780. First we will calculate the prime factors of 93765 and 93780.

Prime Factorization of 93765

Prime Factorization of 93780

Now multiplying the highest exponent prime factors to calculate the LCM of 93765 and 93780.

LCM(93765,93780) = 3² × 5¹ × 7¹ × 19¹ × 47¹ × 2² × 521¹
LCM(93765,93780) = 586218780