What is the Least Common Multiple of 77069 and 77076?

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 77069 and 77076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77069 and 77076, than apply into the LCM equation.

GCF(77069,77076) = 1
LCM(77069,77076) = ( 77069 × 77076) / 1
LCM(77069,77076) = 5940170244 / 1
LCM(77069,77076) = 5940170244

Least Common Multiple (LCM) of 77069 and 77076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77069 and 77076. First we will calculate the prime factors of 77069 and 77076.

Prime Factorization of 77069

Prime Factorization of 77076

Now multiplying the highest exponent prime factors to calculate the LCM of 77069 and 77076.

LCM(77069,77076) = 77069¹ × 2² × 3² × 2141¹
LCM(77069,77076) = 5940170244