What is the Least Common Multiple of 47490 and 47510?

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 47490 and 47510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47490 and 47510, than apply into the LCM equation.

GCF(47490,47510) = 10
LCM(47490,47510) = ( 47490 × 47510) / 10
LCM(47490,47510) = 2256249900 / 10
LCM(47490,47510) = 225624990

Least Common Multiple (LCM) of 47490 and 47510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47490 and 47510. First we will calculate the prime factors of 47490 and 47510.

Prime Factorization of 47490

Prime Factorization of 47510

Now multiplying the highest exponent prime factors to calculate the LCM of 47490 and 47510.

LCM(47490,47510) = 2¹ × 3¹ × 5¹ × 1583¹ × 4751¹
LCM(47490,47510) = 225624990