What is the Least Common Multiple of 71760 and 71769?

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 71769 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 71769, than apply into the LCM equation.

GCF(71760,71769) = 3
LCM(71760,71769) = ( 71760 × 71769) / 3
LCM(71760,71769) = 5150143440 / 3
LCM(71760,71769) = 1716714480

Least Common Multiple (LCM) of 71760 and 71769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71760 and 71769. First we will calculate the prime factors of 71760 and 71769.

Prime Factorization of 71760

Prime Factorization of 71769

Now multiplying the highest exponent prime factors to calculate the LCM of 71760 and 71769.

LCM(71760,71769) = 2⁴ × 3¹ × 5¹ × 13¹ × 23¹ × 47¹ × 509¹
LCM(71760,71769) = 1716714480