What is the Least Common Multiple of 69756 and 69760?

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 69756 and 69760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69756 and 69760, than apply into the LCM equation.

GCF(69756,69760) = 4
LCM(69756,69760) = ( 69756 × 69760) / 4
LCM(69756,69760) = 4866178560 / 4
LCM(69756,69760) = 1216544640

Least Common Multiple (LCM) of 69756 and 69760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69756 and 69760. First we will calculate the prime factors of 69756 and 69760.

Prime Factorization of 69756

Prime Factorization of 69760

Now multiplying the highest exponent prime factors to calculate the LCM of 69756 and 69760.

LCM(69756,69760) = 2⁷ × 3¹ × 5813¹ × 5¹ × 109¹
LCM(69756,69760) = 1216544640