What is the Least Common Multiple of 38190 and 38202?

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 38190 and 38202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38190 and 38202, than apply into the LCM equation.

GCF(38190,38202) = 6
LCM(38190,38202) = ( 38190 × 38202) / 6
LCM(38190,38202) = 1458934380 / 6
LCM(38190,38202) = 243155730

Least Common Multiple (LCM) of 38190 and 38202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38190 and 38202. First we will calculate the prime factors of 38190 and 38202.

Prime Factorization of 38190

Prime Factorization of 38202

Now multiplying the highest exponent prime factors to calculate the LCM of 38190 and 38202.

LCM(38190,38202) = 2¹ × 3¹ × 5¹ × 19¹ × 67¹ × 6367¹
LCM(38190,38202) = 243155730