What is the Least Common Multiple of 47415 and 47424?

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 47415 and 47424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47415 and 47424, than apply into the LCM equation.

GCF(47415,47424) = 3
LCM(47415,47424) = ( 47415 × 47424) / 3
LCM(47415,47424) = 2248608960 / 3
LCM(47415,47424) = 749536320

Least Common Multiple (LCM) of 47415 and 47424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47415 and 47424. First we will calculate the prime factors of 47415 and 47424.

Prime Factorization of 47415

Prime Factorization of 47424

Now multiplying the highest exponent prime factors to calculate the LCM of 47415 and 47424.

LCM(47415,47424) = 3¹ × 5¹ × 29¹ × 109¹ × 2⁶ × 13¹ × 19¹
LCM(47415,47424) = 749536320