What is the Least Common Multiple of 95776 and 95795?

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 95776 and 95795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95776 and 95795, than apply into the LCM equation.

GCF(95776,95795) = 1
LCM(95776,95795) = ( 95776 × 95795) / 1
LCM(95776,95795) = 9174861920 / 1
LCM(95776,95795) = 9174861920

Least Common Multiple (LCM) of 95776 and 95795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95776 and 95795. First we will calculate the prime factors of 95776 and 95795.

Prime Factorization of 95776

Prime Factorization of 95795

Now multiplying the highest exponent prime factors to calculate the LCM of 95776 and 95795.

LCM(95776,95795) = 2⁵ × 41¹ × 73¹ × 5¹ × 7² × 17¹ × 23¹
LCM(95776,95795) = 9174861920