What is the Least Common Multiple of 57148 and 57160?

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 57148 and 57160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57148 and 57160, than apply into the LCM equation.

GCF(57148,57160) = 4
LCM(57148,57160) = ( 57148 × 57160) / 4
LCM(57148,57160) = 3266579680 / 4
LCM(57148,57160) = 816644920

Least Common Multiple (LCM) of 57148 and 57160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57148 and 57160. First we will calculate the prime factors of 57148 and 57160.

Prime Factorization of 57148

Prime Factorization of 57160

Now multiplying the highest exponent prime factors to calculate the LCM of 57148 and 57160.

LCM(57148,57160) = 2³ × 7¹ × 13¹ × 157¹ × 5¹ × 1429¹
LCM(57148,57160) = 816644920