What is the Least Common Multiple of 77080 and 77095?

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 77080 and 77095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77080 and 77095, than apply into the LCM equation.

GCF(77080,77095) = 5
LCM(77080,77095) = ( 77080 × 77095) / 5
LCM(77080,77095) = 5942482600 / 5
LCM(77080,77095) = 1188496520

Least Common Multiple (LCM) of 77080 and 77095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77080 and 77095. First we will calculate the prime factors of 77080 and 77095.

Prime Factorization of 77080

Prime Factorization of 77095

Now multiplying the highest exponent prime factors to calculate the LCM of 77080 and 77095.

LCM(77080,77095) = 2³ × 5¹ × 41¹ × 47¹ × 17¹ × 907¹
LCM(77080,77095) = 1188496520