What is the Least Common Multiple of 47361 and 47370?

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 47361 and 47370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47361 and 47370, than apply into the LCM equation.

GCF(47361,47370) = 3
LCM(47361,47370) = ( 47361 × 47370) / 3
LCM(47361,47370) = 2243490570 / 3
LCM(47361,47370) = 747830190

Least Common Multiple (LCM) of 47361 and 47370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47361 and 47370. First we will calculate the prime factors of 47361 and 47370.

Prime Factorization of 47361

Prime Factorization of 47370

Now multiplying the highest exponent prime factors to calculate the LCM of 47361 and 47370.

LCM(47361,47370) = 3¹ × 15787¹ × 2¹ × 5¹ × 1579¹
LCM(47361,47370) = 747830190