What is the Least Common Multiple of 71600 and 71614?

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 71600 and 71614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71600 and 71614, than apply into the LCM equation.

GCF(71600,71614) = 2
LCM(71600,71614) = ( 71600 × 71614) / 2
LCM(71600,71614) = 5127562400 / 2
LCM(71600,71614) = 2563781200

Least Common Multiple (LCM) of 71600 and 71614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71600 and 71614. First we will calculate the prime factors of 71600 and 71614.

Prime Factorization of 71600

Prime Factorization of 71614

Now multiplying the highest exponent prime factors to calculate the LCM of 71600 and 71614.

LCM(71600,71614) = 2⁴ × 5² × 179¹ × 61¹ × 587¹
LCM(71600,71614) = 2563781200