What is the Least Common Multiple of 71498 and 71512?

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 71498 and 71512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71498 and 71512, than apply into the LCM equation.

GCF(71498,71512) = 14
LCM(71498,71512) = ( 71498 × 71512) / 14
LCM(71498,71512) = 5112964976 / 14
LCM(71498,71512) = 365211784

Least Common Multiple (LCM) of 71498 and 71512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71498 and 71512. First we will calculate the prime factors of 71498 and 71512.

Prime Factorization of 71498

Prime Factorization of 71512

Now multiplying the highest exponent prime factors to calculate the LCM of 71498 and 71512.

LCM(71498,71512) = 2³ × 7¹ × 5107¹ × 1277¹
LCM(71498,71512) = 365211784