What is the Least Common Multiple of 55224 and 55244?

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 55244 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 55244, than apply into the LCM equation.

GCF(55224,55244) = 4
LCM(55224,55244) = ( 55224 × 55244) / 4
LCM(55224,55244) = 3050794656 / 4
LCM(55224,55244) = 762698664

Least Common Multiple (LCM) of 55224 and 55244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55224 and 55244. First we will calculate the prime factors of 55224 and 55244.

Prime Factorization of 55224

Prime Factorization of 55244

Now multiplying the highest exponent prime factors to calculate the LCM of 55224 and 55244.

LCM(55224,55244) = 2³ × 3² × 13¹ × 59¹ × 7¹ × 1973¹
LCM(55224,55244) = 762698664