What is the Least Common Multiple of 52469 and 52480?

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 52469 and 52480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52469 and 52480, than apply into the LCM equation.

GCF(52469,52480) = 1
LCM(52469,52480) = ( 52469 × 52480) / 1
LCM(52469,52480) = 2753573120 / 1
LCM(52469,52480) = 2753573120

Least Common Multiple (LCM) of 52469 and 52480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52469 and 52480. First we will calculate the prime factors of 52469 and 52480.

Prime Factorization of 52469

Prime Factorization of 52480

Now multiplying the highest exponent prime factors to calculate the LCM of 52469 and 52480.

LCM(52469,52480) = 71¹ × 739¹ × 2⁸ × 5¹ × 41¹
LCM(52469,52480) = 2753573120