What is the Least Common Multiple of 38229 and 38236?

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 38229 and 38236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38229 and 38236, than apply into the LCM equation.

GCF(38229,38236) = 1
LCM(38229,38236) = ( 38229 × 38236) / 1
LCM(38229,38236) = 1461724044 / 1
LCM(38229,38236) = 1461724044

Least Common Multiple (LCM) of 38229 and 38236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38229 and 38236. First we will calculate the prime factors of 38229 and 38236.

Prime Factorization of 38229

Prime Factorization of 38236

Now multiplying the highest exponent prime factors to calculate the LCM of 38229 and 38236.

LCM(38229,38236) = 3¹ × 12743¹ × 2² × 11² × 79¹
LCM(38229,38236) = 1461724044