What is the Least Common Multiple of 65880 and 65893?

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 65893 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 65893, than apply into the LCM equation.

GCF(65880,65893) = 1
LCM(65880,65893) = ( 65880 × 65893) / 1
LCM(65880,65893) = 4341030840 / 1
LCM(65880,65893) = 4341030840

Least Common Multiple (LCM) of 65880 and 65893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65880 and 65893. First we will calculate the prime factors of 65880 and 65893.

Prime Factorization of 65880

Prime Factorization of 65893

Now multiplying the highest exponent prime factors to calculate the LCM of 65880 and 65893.

LCM(65880,65893) = 2³ × 3³ × 5¹ × 61¹ × 131¹ × 503¹
LCM(65880,65893) = 4341030840