What is the Least Common Multiple of 71292 and 71305?

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 71292 and 71305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71292 and 71305, than apply into the LCM equation.

GCF(71292,71305) = 13
LCM(71292,71305) = ( 71292 × 71305) / 13
LCM(71292,71305) = 5083476060 / 13
LCM(71292,71305) = 391036620

Least Common Multiple (LCM) of 71292 and 71305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71292 and 71305. First we will calculate the prime factors of 71292 and 71305.

Prime Factorization of 71292

Prime Factorization of 71305

Now multiplying the highest exponent prime factors to calculate the LCM of 71292 and 71305.

LCM(71292,71305) = 2² × 3¹ × 13¹ × 457¹ × 5¹ × 1097¹
LCM(71292,71305) = 391036620