What is the Least Common Multiple of 47524 and 47540?

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 47524 and 47540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47524 and 47540, than apply into the LCM equation.

GCF(47524,47540) = 4
LCM(47524,47540) = ( 47524 × 47540) / 4
LCM(47524,47540) = 2259290960 / 4
LCM(47524,47540) = 564822740

Least Common Multiple (LCM) of 47524 and 47540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47524 and 47540. First we will calculate the prime factors of 47524 and 47540.

Prime Factorization of 47524

Prime Factorization of 47540

Now multiplying the highest exponent prime factors to calculate the LCM of 47524 and 47540.

LCM(47524,47540) = 2² × 109² × 5¹ × 2377¹
LCM(47524,47540) = 564822740