What is the Least Common Multiple of 69760 and 69772?

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 69760 and 69772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69760 and 69772, than apply into the LCM equation.

GCF(69760,69772) = 4
LCM(69760,69772) = ( 69760 × 69772) / 4
LCM(69760,69772) = 4867294720 / 4
LCM(69760,69772) = 1216823680

Least Common Multiple (LCM) of 69760 and 69772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69760 and 69772. First we will calculate the prime factors of 69760 and 69772.

Prime Factorization of 69760

Prime Factorization of 69772

Now multiplying the highest exponent prime factors to calculate the LCM of 69760 and 69772.

LCM(69760,69772) = 2⁷ × 5¹ × 109¹ × 17443¹
LCM(69760,69772) = 1216823680