What is the Least Common Multiple of 69740 and 69752?

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 69740 and 69752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69740 and 69752, than apply into the LCM equation.

GCF(69740,69752) = 4
LCM(69740,69752) = ( 69740 × 69752) / 4
LCM(69740,69752) = 4864504480 / 4
LCM(69740,69752) = 1216126120

Least Common Multiple (LCM) of 69740 and 69752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69740 and 69752. First we will calculate the prime factors of 69740 and 69752.

Prime Factorization of 69740

Prime Factorization of 69752

Now multiplying the highest exponent prime factors to calculate the LCM of 69740 and 69752.

LCM(69740,69752) = 2³ × 5¹ × 11¹ × 317¹ × 8719¹
LCM(69740,69752) = 1216126120