What is the Least Common Multiple of 71743 and 71760?

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 71743 and 71760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71743 and 71760, than apply into the LCM equation.

GCF(71743,71760) = 1
LCM(71743,71760) = ( 71743 × 71760) / 1
LCM(71743,71760) = 5148277680 / 1
LCM(71743,71760) = 5148277680

Least Common Multiple (LCM) of 71743 and 71760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71743 and 71760. First we will calculate the prime factors of 71743 and 71760.

Prime Factorization of 71743

Prime Factorization of 71760

Now multiplying the highest exponent prime factors to calculate the LCM of 71743 and 71760.

LCM(71743,71760) = 7¹ × 37¹ × 277¹ × 2⁴ × 3¹ × 5¹ × 13¹ × 23¹
LCM(71743,71760) = 5148277680