What is the Least Common Multiple of 77748 and 77754?

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 77748 and 77754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77748 and 77754, than apply into the LCM equation.

GCF(77748,77754) = 6
LCM(77748,77754) = ( 77748 × 77754) / 6
LCM(77748,77754) = 6045217992 / 6
LCM(77748,77754) = 1007536332

Least Common Multiple (LCM) of 77748 and 77754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77748 and 77754. First we will calculate the prime factors of 77748 and 77754.

Prime Factorization of 77748

Prime Factorization of 77754

Now multiplying the highest exponent prime factors to calculate the LCM of 77748 and 77754.

LCM(77748,77754) = 2² × 3¹ × 11¹ × 19¹ × 31¹ × 12959¹
LCM(77748,77754) = 1007536332