What is the Least Common Multiple of 77300 and 77309?

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 77300 and 77309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77300 and 77309, than apply into the LCM equation.

GCF(77300,77309) = 1
LCM(77300,77309) = ( 77300 × 77309) / 1
LCM(77300,77309) = 5975985700 / 1
LCM(77300,77309) = 5975985700

Least Common Multiple (LCM) of 77300 and 77309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77300 and 77309. First we will calculate the prime factors of 77300 and 77309.

Prime Factorization of 77300

Prime Factorization of 77309

Now multiplying the highest exponent prime factors to calculate the LCM of 77300 and 77309.

LCM(77300,77309) = 2² × 5² × 773¹ × 97¹ × 797¹
LCM(77300,77309) = 5975985700