What is the Least Common Multiple of 65892 and 65910?

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 65892 and 65910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65892 and 65910, than apply into the LCM equation.

GCF(65892,65910) = 6
LCM(65892,65910) = ( 65892 × 65910) / 6
LCM(65892,65910) = 4342941720 / 6
LCM(65892,65910) = 723823620

Least Common Multiple (LCM) of 65892 and 65910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65892 and 65910. First we will calculate the prime factors of 65892 and 65910.

Prime Factorization of 65892

Prime Factorization of 65910

Now multiplying the highest exponent prime factors to calculate the LCM of 65892 and 65910.

LCM(65892,65910) = 2² × 3¹ × 17² × 19¹ × 5¹ × 13³
LCM(65892,65910) = 723823620