What is the Least Common Multiple of 95680 and 95688?

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 95680 and 95688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95680 and 95688, than apply into the LCM equation.

GCF(95680,95688) = 8
LCM(95680,95688) = ( 95680 × 95688) / 8
LCM(95680,95688) = 9155427840 / 8
LCM(95680,95688) = 1144428480

Least Common Multiple (LCM) of 95680 and 95688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95680 and 95688. First we will calculate the prime factors of 95680 and 95688.

Prime Factorization of 95680

Prime Factorization of 95688

Now multiplying the highest exponent prime factors to calculate the LCM of 95680 and 95688.

LCM(95680,95688) = 2⁶ × 5¹ × 13¹ × 23¹ × 3³ × 443¹
LCM(95680,95688) = 1144428480