What is the Least Common Multiple of 77780 and 77788?

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 77780 and 77788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77780 and 77788, than apply into the LCM equation.

GCF(77780,77788) = 4
LCM(77780,77788) = ( 77780 × 77788) / 4
LCM(77780,77788) = 6050350640 / 4
LCM(77780,77788) = 1512587660

Least Common Multiple (LCM) of 77780 and 77788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77780 and 77788. First we will calculate the prime factors of 77780 and 77788.

Prime Factorization of 77780

Prime Factorization of 77788

Now multiplying the highest exponent prime factors to calculate the LCM of 77780 and 77788.

LCM(77780,77788) = 2² × 5¹ × 3889¹ × 19447¹
LCM(77780,77788) = 1512587660