What is the Least Common Multiple of 95776 and 95784?

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 95784 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 95784, than apply into the LCM equation.

GCF(95776,95784) = 8
LCM(95776,95784) = ( 95776 × 95784) / 8
LCM(95776,95784) = 9173808384 / 8
LCM(95776,95784) = 1146726048

Least Common Multiple (LCM) of 95776 and 95784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95776 and 95784. First we will calculate the prime factors of 95776 and 95784.

Prime Factorization of 95776

Prime Factorization of 95784

Now multiplying the highest exponent prime factors to calculate the LCM of 95776 and 95784.

LCM(95776,95784) = 2⁵ × 41¹ × 73¹ × 3¹ × 13¹ × 307¹
LCM(95776,95784) = 1146726048