What is the Least Common Multiple of 56147 and 56160?

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 56147 and 56160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56147 and 56160, than apply into the LCM equation.

GCF(56147,56160) = 13
LCM(56147,56160) = ( 56147 × 56160) / 13
LCM(56147,56160) = 3153215520 / 13
LCM(56147,56160) = 242555040

Least Common Multiple (LCM) of 56147 and 56160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56147 and 56160. First we will calculate the prime factors of 56147 and 56160.

Prime Factorization of 56147

Prime Factorization of 56160

Now multiplying the highest exponent prime factors to calculate the LCM of 56147 and 56160.

LCM(56147,56160) = 7¹ × 13¹ × 617¹ × 2⁵ × 3³ × 5¹
LCM(56147,56160) = 242555040