What is the Least Common Multiple of 54560 and 54574?

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 54560 and 54574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54560 and 54574, than apply into the LCM equation.

GCF(54560,54574) = 2
LCM(54560,54574) = ( 54560 × 54574) / 2
LCM(54560,54574) = 2977557440 / 2
LCM(54560,54574) = 1488778720

Least Common Multiple (LCM) of 54560 and 54574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54560 and 54574. First we will calculate the prime factors of 54560 and 54574.

Prime Factorization of 54560

Prime Factorization of 54574

Now multiplying the highest exponent prime factors to calculate the LCM of 54560 and 54574.

LCM(54560,54574) = 2⁵ × 5¹ × 11¹ × 31¹ × 13¹ × 2099¹
LCM(54560,54574) = 1488778720