What is the Least Common Multiple of 71546 and 71564?

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 71546 and 71564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71546 and 71564, than apply into the LCM equation.

GCF(71546,71564) = 2
LCM(71546,71564) = ( 71546 × 71564) / 2
LCM(71546,71564) = 5120117944 / 2
LCM(71546,71564) = 2560058972

Least Common Multiple (LCM) of 71546 and 71564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71546 and 71564. First we will calculate the prime factors of 71546 and 71564.

Prime Factorization of 71546

Prime Factorization of 71564

Now multiplying the highest exponent prime factors to calculate the LCM of 71546 and 71564.

LCM(71546,71564) = 2² × 83¹ × 431¹ × 17891¹
LCM(71546,71564) = 2560058972