What is the Least Common Multiple of 77775 and 77780?

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 77775 and 77780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77775 and 77780, than apply into the LCM equation.

GCF(77775,77780) = 5
LCM(77775,77780) = ( 77775 × 77780) / 5
LCM(77775,77780) = 6049339500 / 5
LCM(77775,77780) = 1209867900

Least Common Multiple (LCM) of 77775 and 77780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77775 and 77780. First we will calculate the prime factors of 77775 and 77780.

Prime Factorization of 77775

Prime Factorization of 77780

Now multiplying the highest exponent prime factors to calculate the LCM of 77775 and 77780.

LCM(77775,77780) = 3¹ × 5² × 17¹ × 61¹ × 2² × 3889¹
LCM(77775,77780) = 1209867900