What is the Least Common Multiple of 95674 and 95680?

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 95674 and 95680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95674 and 95680, than apply into the LCM equation.

GCF(95674,95680) = 2
LCM(95674,95680) = ( 95674 × 95680) / 2
LCM(95674,95680) = 9154088320 / 2
LCM(95674,95680) = 4577044160

Least Common Multiple (LCM) of 95674 and 95680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95674 and 95680. First we will calculate the prime factors of 95674 and 95680.

Prime Factorization of 95674

Prime Factorization of 95680

Now multiplying the highest exponent prime factors to calculate the LCM of 95674 and 95680.

LCM(95674,95680) = 2⁶ × 47837¹ × 5¹ × 13¹ × 23¹
LCM(95674,95680) = 4577044160