What is the Least Common Multiple of 47170 and 47190?

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 47170 and 47190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47170 and 47190, than apply into the LCM equation.

GCF(47170,47190) = 10
LCM(47170,47190) = ( 47170 × 47190) / 10
LCM(47170,47190) = 2225952300 / 10
LCM(47170,47190) = 222595230

Least Common Multiple (LCM) of 47170 and 47190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47170 and 47190. First we will calculate the prime factors of 47170 and 47190.

Prime Factorization of 47170

Prime Factorization of 47190

Now multiplying the highest exponent prime factors to calculate the LCM of 47170 and 47190.

LCM(47170,47190) = 2¹ × 5¹ × 53¹ × 89¹ × 3¹ × 11² × 13¹
LCM(47170,47190) = 222595230