What is the Least Common Multiple of 87765 and 87780?

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 87765 and 87780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87765 and 87780, than apply into the LCM equation.

GCF(87765,87780) = 15
LCM(87765,87780) = ( 87765 × 87780) / 15
LCM(87765,87780) = 7704011700 / 15
LCM(87765,87780) = 513600780

Least Common Multiple (LCM) of 87765 and 87780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87765 and 87780. First we will calculate the prime factors of 87765 and 87780.

Prime Factorization of 87765

Prime Factorization of 87780

Now multiplying the highest exponent prime factors to calculate the LCM of 87765 and 87780.

LCM(87765,87780) = 3¹ × 5¹ × 5851¹ × 2² × 7¹ × 11¹ × 19¹
LCM(87765,87780) = 513600780