What is the Least Common Multiple of 71302 and 71310?

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 71302 and 71310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71302 and 71310, than apply into the LCM equation.

GCF(71302,71310) = 2
LCM(71302,71310) = ( 71302 × 71310) / 2
LCM(71302,71310) = 5084545620 / 2
LCM(71302,71310) = 2542272810

Least Common Multiple (LCM) of 71302 and 71310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71302 and 71310. First we will calculate the prime factors of 71302 and 71310.

Prime Factorization of 71302

Prime Factorization of 71310

Now multiplying the highest exponent prime factors to calculate the LCM of 71302 and 71310.

LCM(71302,71310) = 2¹ × 7¹ × 11¹ × 463¹ × 3¹ × 5¹ × 2377¹
LCM(71302,71310) = 2542272810