What is the Least Common Multiple of 65880 and 65888?

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 65880 and 65888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65880 and 65888, than apply into the LCM equation.

GCF(65880,65888) = 8
LCM(65880,65888) = ( 65880 × 65888) / 8
LCM(65880,65888) = 4340701440 / 8
LCM(65880,65888) = 542587680

Least Common Multiple (LCM) of 65880 and 65888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65880 and 65888. First we will calculate the prime factors of 65880 and 65888.

Prime Factorization of 65880

Prime Factorization of 65888

Now multiplying the highest exponent prime factors to calculate the LCM of 65880 and 65888.

LCM(65880,65888) = 2⁵ × 3³ × 5¹ × 61¹ × 29¹ × 71¹
LCM(65880,65888) = 542587680