What is the Least Common Multiple of 71678 and 71687?

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 71678 and 71687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71678 and 71687, than apply into the LCM equation.

GCF(71678,71687) = 1
LCM(71678,71687) = ( 71678 × 71687) / 1
LCM(71678,71687) = 5138380786 / 1
LCM(71678,71687) = 5138380786

Least Common Multiple (LCM) of 71678 and 71687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71678 and 71687. First we will calculate the prime factors of 71678 and 71687.

Prime Factorization of 71678

Prime Factorization of 71687

Now multiplying the highest exponent prime factors to calculate the LCM of 71678 and 71687.

LCM(71678,71687) = 2¹ × 35839¹ × 7³ × 11¹ × 19¹
LCM(71678,71687) = 5138380786