What is the Least Common Multiple of 53476 and 53494?

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 53476 and 53494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53476 and 53494, than apply into the LCM equation.

GCF(53476,53494) = 2
LCM(53476,53494) = ( 53476 × 53494) / 2
LCM(53476,53494) = 2860645144 / 2
LCM(53476,53494) = 1430322572

Least Common Multiple (LCM) of 53476 and 53494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53476 and 53494. First we will calculate the prime factors of 53476 and 53494.

Prime Factorization of 53476

Prime Factorization of 53494

Now multiplying the highest exponent prime factors to calculate the LCM of 53476 and 53494.

LCM(53476,53494) = 2² × 29¹ × 461¹ × 7¹ × 3821¹
LCM(53476,53494) = 1430322572