What is the Least Common Multiple of 95965 and 95976?

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 95965 and 95976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95965 and 95976, than apply into the LCM equation.

GCF(95965,95976) = 1
LCM(95965,95976) = ( 95965 × 95976) / 1
LCM(95965,95976) = 9210336840 / 1
LCM(95965,95976) = 9210336840

Least Common Multiple (LCM) of 95965 and 95976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95965 and 95976. First we will calculate the prime factors of 95965 and 95976.

Prime Factorization of 95965

Prime Factorization of 95976

Now multiplying the highest exponent prime factors to calculate the LCM of 95965 and 95976.

LCM(95965,95976) = 5¹ × 17¹ × 1129¹ × 2³ × 3² × 31¹ × 43¹
LCM(95965,95976) = 9210336840