What is the Least Common Multiple of 8759 and 8778?

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 8759 and 8778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8759 and 8778, than apply into the LCM equation.

GCF(8759,8778) = 19
LCM(8759,8778) = ( 8759 × 8778) / 19
LCM(8759,8778) = 76886502 / 19
LCM(8759,8778) = 4046658

Least Common Multiple (LCM) of 8759 and 8778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8759 and 8778. First we will calculate the prime factors of 8759 and 8778.

Prime Factorization of 8759

Prime Factorization of 8778

Now multiplying the highest exponent prime factors to calculate the LCM of 8759 and 8778.

LCM(8759,8778) = 19¹ × 461¹ × 2¹ × 3¹ × 7¹ × 11¹
LCM(8759,8778) = 4046658