What is the Least Common Multiple of 55624 and 55638?

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 55638 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 55638, than apply into the LCM equation.

GCF(55624,55638) = 2
LCM(55624,55638) = ( 55624 × 55638) / 2
LCM(55624,55638) = 3094808112 / 2
LCM(55624,55638) = 1547404056

Least Common Multiple (LCM) of 55624 and 55638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55624 and 55638. First we will calculate the prime factors of 55624 and 55638.

Prime Factorization of 55624

Prime Factorization of 55638

Now multiplying the highest exponent prime factors to calculate the LCM of 55624 and 55638.

LCM(55624,55638) = 2³ × 17¹ × 409¹ × 3² × 11¹ × 281¹
LCM(55624,55638) = 1547404056