What is the Least Common Multiple of 71760 and 71780?

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 71760 and 71780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71760 and 71780, than apply into the LCM equation.

GCF(71760,71780) = 20
LCM(71760,71780) = ( 71760 × 71780) / 20
LCM(71760,71780) = 5150932800 / 20
LCM(71760,71780) = 257546640

Least Common Multiple (LCM) of 71760 and 71780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71760 and 71780. First we will calculate the prime factors of 71760 and 71780.

Prime Factorization of 71760

Prime Factorization of 71780

Now multiplying the highest exponent prime factors to calculate the LCM of 71760 and 71780.

LCM(71760,71780) = 2⁴ × 3¹ × 5¹ × 13¹ × 23¹ × 37¹ × 97¹
LCM(71760,71780) = 257546640