What is the Least Common Multiple of 95758 and 95776?

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 95758 and 95776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95758 and 95776, than apply into the LCM equation.

GCF(95758,95776) = 2
LCM(95758,95776) = ( 95758 × 95776) / 2
LCM(95758,95776) = 9171318208 / 2
LCM(95758,95776) = 4585659104

Least Common Multiple (LCM) of 95758 and 95776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95758 and 95776. First we will calculate the prime factors of 95758 and 95776.

Prime Factorization of 95758

Prime Factorization of 95776

Now multiplying the highest exponent prime factors to calculate the LCM of 95758 and 95776.

LCM(95758,95776) = 2⁵ × 13¹ × 29¹ × 127¹ × 41¹ × 73¹
LCM(95758,95776) = 4585659104