What is the Least Common Multiple of 15402 and 15407?

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 15402 and 15407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15402 and 15407, than apply into the LCM equation.

GCF(15402,15407) = 1
LCM(15402,15407) = ( 15402 × 15407) / 1
LCM(15402,15407) = 237298614 / 1
LCM(15402,15407) = 237298614

Least Common Multiple (LCM) of 15402 and 15407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15402 and 15407. First we will calculate the prime factors of 15402 and 15407.

Prime Factorization of 15402

Prime Factorization of 15407

Now multiplying the highest exponent prime factors to calculate the LCM of 15402 and 15407.

LCM(15402,15407) = 2¹ × 3¹ × 17¹ × 151¹ × 7¹ × 31¹ × 71¹
LCM(15402,15407) = 237298614