What is the Least Common Multiple of 47608 and 47620?

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 47608 and 47620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47608 and 47620, than apply into the LCM equation.

GCF(47608,47620) = 4
LCM(47608,47620) = ( 47608 × 47620) / 4
LCM(47608,47620) = 2267092960 / 4
LCM(47608,47620) = 566773240

Least Common Multiple (LCM) of 47608 and 47620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47608 and 47620. First we will calculate the prime factors of 47608 and 47620.

Prime Factorization of 47608

Prime Factorization of 47620

Now multiplying the highest exponent prime factors to calculate the LCM of 47608 and 47620.

LCM(47608,47620) = 2³ × 11¹ × 541¹ × 5¹ × 2381¹
LCM(47608,47620) = 566773240