What is the Least Common Multiple of 47475 and 47490?

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 47475 and 47490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47475 and 47490, than apply into the LCM equation.

GCF(47475,47490) = 15
LCM(47475,47490) = ( 47475 × 47490) / 15
LCM(47475,47490) = 2254587750 / 15
LCM(47475,47490) = 150305850

Least Common Multiple (LCM) of 47475 and 47490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47475 and 47490. First we will calculate the prime factors of 47475 and 47490.

Prime Factorization of 47475

Prime Factorization of 47490

Now multiplying the highest exponent prime factors to calculate the LCM of 47475 and 47490.

LCM(47475,47490) = 3² × 5² × 211¹ × 2¹ × 1583¹
LCM(47475,47490) = 150305850