What is the Least Common Multiple of 71630 and 71648?

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 71648 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 71648, than apply into the LCM equation.

GCF(71630,71648) = 2
LCM(71630,71648) = ( 71630 × 71648) / 2
LCM(71630,71648) = 5132146240 / 2
LCM(71630,71648) = 2566073120

Least Common Multiple (LCM) of 71630 and 71648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71630 and 71648. First we will calculate the prime factors of 71630 and 71648.

Prime Factorization of 71630

Prime Factorization of 71648

Now multiplying the highest exponent prime factors to calculate the LCM of 71630 and 71648.

LCM(71630,71648) = 2⁵ × 5¹ × 13¹ × 19¹ × 29¹ × 2239¹
LCM(71630,71648) = 2566073120