What is the Least Common Multiple of 71630 and 71635?

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 71630 and 71635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71630 and 71635, than apply into the LCM equation.

GCF(71630,71635) = 5
LCM(71630,71635) = ( 71630 × 71635) / 5
LCM(71630,71635) = 5131215050 / 5
LCM(71630,71635) = 1026243010

Least Common Multiple (LCM) of 71630 and 71635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71630 and 71635. First we will calculate the prime factors of 71630 and 71635.

Prime Factorization of 71630

Prime Factorization of 71635

Now multiplying the highest exponent prime factors to calculate the LCM of 71630 and 71635.

LCM(71630,71635) = 2¹ × 5¹ × 13¹ × 19¹ × 29¹ × 14327¹
LCM(71630,71635) = 1026243010