What is the Least Common Multiple of 47478 and 47488?

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 47478 and 47488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47478 and 47488, than apply into the LCM equation.

GCF(47478,47488) = 2
LCM(47478,47488) = ( 47478 × 47488) / 2
LCM(47478,47488) = 2254635264 / 2
LCM(47478,47488) = 1127317632

Least Common Multiple (LCM) of 47478 and 47488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47478 and 47488. First we will calculate the prime factors of 47478 and 47488.

Prime Factorization of 47478

Prime Factorization of 47488

Now multiplying the highest exponent prime factors to calculate the LCM of 47478 and 47488.

LCM(47478,47488) = 2⁷ × 3¹ × 41¹ × 193¹ × 7¹ × 53¹
LCM(47478,47488) = 1127317632