What is the Least Common Multiple of 71744 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 71744 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 71744 and 71760, than apply into the LCM equation.

GCF(71744,71760) = 16
LCM(71744,71760) = ( 71744 × 71760) / 16
LCM(71744,71760) = 5148349440 / 16
LCM(71744,71760) = 321771840

Least Common Multiple (LCM) of 71744 and 71760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71744 and 71760. First we will calculate the prime factors of 71744 and 71760.

Prime Factorization of 71744

Prime Factorization of 71760

Now multiplying the highest exponent prime factors to calculate the LCM of 71744 and 71760.

LCM(71744,71760) = 2⁶ × 19¹ × 59¹ × 3¹ × 5¹ × 13¹ × 23¹
LCM(71744,71760) = 321771840