What is the Least Common Multiple of 55224 and 55236?

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 55224 and 55236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55224 and 55236, than apply into the LCM equation.

GCF(55224,55236) = 12
LCM(55224,55236) = ( 55224 × 55236) / 12
LCM(55224,55236) = 3050352864 / 12
LCM(55224,55236) = 254196072

Least Common Multiple (LCM) of 55224 and 55236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55224 and 55236. First we will calculate the prime factors of 55224 and 55236.

Prime Factorization of 55224

Prime Factorization of 55236

Now multiplying the highest exponent prime factors to calculate the LCM of 55224 and 55236.

LCM(55224,55236) = 2³ × 3² × 13¹ × 59¹ × 4603¹
LCM(55224,55236) = 254196072