What is the Least Common Multiple of 71100 and 71105?

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 71100 and 71105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71100 and 71105, than apply into the LCM equation.

GCF(71100,71105) = 5
LCM(71100,71105) = ( 71100 × 71105) / 5
LCM(71100,71105) = 5055565500 / 5
LCM(71100,71105) = 1011113100

Least Common Multiple (LCM) of 71100 and 71105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71100 and 71105. First we will calculate the prime factors of 71100 and 71105.

Prime Factorization of 71100

Prime Factorization of 71105

Now multiplying the highest exponent prime factors to calculate the LCM of 71100 and 71105.

LCM(71100,71105) = 2² × 3² × 5² × 79¹ × 14221¹
LCM(71100,71105) = 1011113100