What is the Least Common Multiple of 71611 and 71630?

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 71611 and 71630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71611 and 71630, than apply into the LCM equation.

GCF(71611,71630) = 19
LCM(71611,71630) = ( 71611 × 71630) / 19
LCM(71611,71630) = 5129495930 / 19
LCM(71611,71630) = 269973470

Least Common Multiple (LCM) of 71611 and 71630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71611 and 71630. First we will calculate the prime factors of 71611 and 71630.

Prime Factorization of 71611

Prime Factorization of 71630

Now multiplying the highest exponent prime factors to calculate the LCM of 71611 and 71630.

LCM(71611,71630) = 19¹ × 3769¹ × 2¹ × 5¹ × 13¹ × 29¹
LCM(71611,71630) = 269973470