What is the Least Common Multiple of 43902 and 43915?

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 43902 and 43915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43902 and 43915, than apply into the LCM equation.

GCF(43902,43915) = 1
LCM(43902,43915) = ( 43902 × 43915) / 1
LCM(43902,43915) = 1927956330 / 1
LCM(43902,43915) = 1927956330

Least Common Multiple (LCM) of 43902 and 43915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43902 and 43915. First we will calculate the prime factors of 43902 and 43915.

Prime Factorization of 43902

Prime Factorization of 43915

Now multiplying the highest exponent prime factors to calculate the LCM of 43902 and 43915.

LCM(43902,43915) = 2¹ × 3⁴ × 271¹ × 5¹ × 8783¹
LCM(43902,43915) = 1927956330