What is the Least Common Multiple of 71536 and 71546?

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 71536 and 71546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71536 and 71546, than apply into the LCM equation.

GCF(71536,71546) = 2
LCM(71536,71546) = ( 71536 × 71546) / 2
LCM(71536,71546) = 5118114656 / 2
LCM(71536,71546) = 2559057328

Least Common Multiple (LCM) of 71536 and 71546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71536 and 71546. First we will calculate the prime factors of 71536 and 71546.

Prime Factorization of 71536

Prime Factorization of 71546

Now multiplying the highest exponent prime factors to calculate the LCM of 71536 and 71546.

LCM(71536,71546) = 2⁴ × 17¹ × 263¹ × 83¹ × 431¹
LCM(71536,71546) = 2559057328