What is the Least Common Multiple of 54229 and 54236?

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 54229 and 54236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54229 and 54236, than apply into the LCM equation.

GCF(54229,54236) = 7
LCM(54229,54236) = ( 54229 × 54236) / 7
LCM(54229,54236) = 2941164044 / 7
LCM(54229,54236) = 420166292

Least Common Multiple (LCM) of 54229 and 54236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54229 and 54236. First we will calculate the prime factors of 54229 and 54236.

Prime Factorization of 54229

Prime Factorization of 54236

Now multiplying the highest exponent prime factors to calculate the LCM of 54229 and 54236.

LCM(54229,54236) = 7¹ × 61¹ × 127¹ × 2² × 13¹ × 149¹
LCM(54229,54236) = 420166292