What is the Least Common Multiple of 95755 and 95771?

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 95755 and 95771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95755 and 95771, than apply into the LCM equation.

GCF(95755,95771) = 1
LCM(95755,95771) = ( 95755 × 95771) / 1
LCM(95755,95771) = 9170552105 / 1
LCM(95755,95771) = 9170552105

Least Common Multiple (LCM) of 95755 and 95771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95755 and 95771. First we will calculate the prime factors of 95755 and 95771.

Prime Factorization of 95755

Prime Factorization of 95771

Now multiplying the highest exponent prime factors to calculate the LCM of 95755 and 95771.

LCM(95755,95771) = 5¹ × 11¹ × 1741¹ × 13¹ × 53¹ × 139¹
LCM(95755,95771) = 9170552105