What is the Least Common Multiple of 71040 and 71046?

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 71040 and 71046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71040 and 71046, than apply into the LCM equation.

GCF(71040,71046) = 6
LCM(71040,71046) = ( 71040 × 71046) / 6
LCM(71040,71046) = 5047107840 / 6
LCM(71040,71046) = 841184640

Least Common Multiple (LCM) of 71040 and 71046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71040 and 71046. First we will calculate the prime factors of 71040 and 71046.

Prime Factorization of 71040

Prime Factorization of 71046

Now multiplying the highest exponent prime factors to calculate the LCM of 71040 and 71046.

LCM(71040,71046) = 2⁷ × 3² × 5¹ × 37¹ × 3947¹
LCM(71040,71046) = 841184640