What is the Least Common Multiple of 55624 and 55636?

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 55624 and 55636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55624 and 55636, than apply into the LCM equation.

GCF(55624,55636) = 4
LCM(55624,55636) = ( 55624 × 55636) / 4
LCM(55624,55636) = 3094696864 / 4
LCM(55624,55636) = 773674216

Least Common Multiple (LCM) of 55624 and 55636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55624 and 55636. First we will calculate the prime factors of 55624 and 55636.

Prime Factorization of 55624

Prime Factorization of 55636

Now multiplying the highest exponent prime factors to calculate the LCM of 55624 and 55636.

LCM(55624,55636) = 2³ × 17¹ × 409¹ × 7¹ × 1987¹
LCM(55624,55636) = 773674216