What is the Least Common Multiple of 15645 and 15652?

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 15645 and 15652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15645 and 15652, than apply into the LCM equation.

GCF(15645,15652) = 7
LCM(15645,15652) = ( 15645 × 15652) / 7
LCM(15645,15652) = 244875540 / 7
LCM(15645,15652) = 34982220

Least Common Multiple (LCM) of 15645 and 15652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15645 and 15652. First we will calculate the prime factors of 15645 and 15652.

Prime Factorization of 15645

Prime Factorization of 15652

Now multiplying the highest exponent prime factors to calculate the LCM of 15645 and 15652.

LCM(15645,15652) = 3¹ × 5¹ × 7¹ × 149¹ × 2² × 13¹ × 43¹
LCM(15645,15652) = 34982220