What is the Least Common Multiple of 57480 and 57496?

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 57480 and 57496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57480 and 57496, than apply into the LCM equation.

GCF(57480,57496) = 8
LCM(57480,57496) = ( 57480 × 57496) / 8
LCM(57480,57496) = 3304870080 / 8
LCM(57480,57496) = 413108760

Least Common Multiple (LCM) of 57480 and 57496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57480 and 57496. First we will calculate the prime factors of 57480 and 57496.

Prime Factorization of 57480

Prime Factorization of 57496

Now multiplying the highest exponent prime factors to calculate the LCM of 57480 and 57496.

LCM(57480,57496) = 2³ × 3¹ × 5¹ × 479¹ × 7187¹
LCM(57480,57496) = 413108760