What is the Least Common Multiple of 71238 and 71246?

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 71238 and 71246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71238 and 71246, than apply into the LCM equation.

GCF(71238,71246) = 2
LCM(71238,71246) = ( 71238 × 71246) / 2
LCM(71238,71246) = 5075422548 / 2
LCM(71238,71246) = 2537711274

Least Common Multiple (LCM) of 71238 and 71246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71238 and 71246. First we will calculate the prime factors of 71238 and 71246.

Prime Factorization of 71238

Prime Factorization of 71246

Now multiplying the highest exponent prime factors to calculate the LCM of 71238 and 71246.

LCM(71238,71246) = 2¹ × 3¹ × 31¹ × 383¹ × 7² × 727¹
LCM(71238,71246) = 2537711274