What is the Least Common Multiple of 71190 and 71200?

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 71190 and 71200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71190 and 71200, than apply into the LCM equation.

GCF(71190,71200) = 10
LCM(71190,71200) = ( 71190 × 71200) / 10
LCM(71190,71200) = 5068728000 / 10
LCM(71190,71200) = 506872800

Least Common Multiple (LCM) of 71190 and 71200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71190 and 71200. First we will calculate the prime factors of 71190 and 71200.

Prime Factorization of 71190

Prime Factorization of 71200

Now multiplying the highest exponent prime factors to calculate the LCM of 71190 and 71200.

LCM(71190,71200) = 2⁵ × 3² × 5² × 7¹ × 113¹ × 89¹
LCM(71190,71200) = 506872800