What is the Least Common Multiple of 69508 and 69520?

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 69508 and 69520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69508 and 69520, than apply into the LCM equation.

GCF(69508,69520) = 4
LCM(69508,69520) = ( 69508 × 69520) / 4
LCM(69508,69520) = 4832196160 / 4
LCM(69508,69520) = 1208049040

Least Common Multiple (LCM) of 69508 and 69520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69508 and 69520. First we will calculate the prime factors of 69508 and 69520.

Prime Factorization of 69508

Prime Factorization of 69520

Now multiplying the highest exponent prime factors to calculate the LCM of 69508 and 69520.

LCM(69508,69520) = 2⁴ × 17377¹ × 5¹ × 11¹ × 79¹
LCM(69508,69520) = 1208049040