What is the Least Common Multiple of 47780 and 47798?

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 47780 and 47798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47780 and 47798, than apply into the LCM equation.

GCF(47780,47798) = 2
LCM(47780,47798) = ( 47780 × 47798) / 2
LCM(47780,47798) = 2283788440 / 2
LCM(47780,47798) = 1141894220

Least Common Multiple (LCM) of 47780 and 47798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47780 and 47798. First we will calculate the prime factors of 47780 and 47798.

Prime Factorization of 47780

Prime Factorization of 47798

Now multiplying the highest exponent prime factors to calculate the LCM of 47780 and 47798.

LCM(47780,47798) = 2² × 5¹ × 2389¹ × 23899¹
LCM(47780,47798) = 1141894220