What is the Least Common Multiple of 55520 and 55532?

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 55520 and 55532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55520 and 55532, than apply into the LCM equation.

GCF(55520,55532) = 4
LCM(55520,55532) = ( 55520 × 55532) / 4
LCM(55520,55532) = 3083136640 / 4
LCM(55520,55532) = 770784160

Least Common Multiple (LCM) of 55520 and 55532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55520 and 55532. First we will calculate the prime factors of 55520 and 55532.

Prime Factorization of 55520

Prime Factorization of 55532

Now multiplying the highest exponent prime factors to calculate the LCM of 55520 and 55532.

LCM(55520,55532) = 2⁵ × 5¹ × 347¹ × 13883¹
LCM(55520,55532) = 770784160