What is the Least Common Multiple of 47478 and 47494?

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 47494 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 47494, than apply into the LCM equation.

GCF(47478,47494) = 2
LCM(47478,47494) = ( 47478 × 47494) / 2
LCM(47478,47494) = 2254920132 / 2
LCM(47478,47494) = 1127460066

Least Common Multiple (LCM) of 47478 and 47494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47478 and 47494. First we will calculate the prime factors of 47478 and 47494.

Prime Factorization of 47478

Prime Factorization of 47494

Now multiplying the highest exponent prime factors to calculate the LCM of 47478 and 47494.

LCM(47478,47494) = 2¹ × 3¹ × 41¹ × 193¹ × 23747¹
LCM(47478,47494) = 1127460066