What is the Least Common Multiple of 52969 and 52976?

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 52969 and 52976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52969 and 52976, than apply into the LCM equation.

GCF(52969,52976) = 7
LCM(52969,52976) = ( 52969 × 52976) / 7
LCM(52969,52976) = 2806085744 / 7
LCM(52969,52976) = 400869392

Least Common Multiple (LCM) of 52969 and 52976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52969 and 52976. First we will calculate the prime factors of 52969 and 52976.

Prime Factorization of 52969

Prime Factorization of 52976

Now multiplying the highest exponent prime factors to calculate the LCM of 52969 and 52976.

LCM(52969,52976) = 7² × 23¹ × 47¹ × 2⁴ × 11¹ × 43¹
LCM(52969,52976) = 400869392