What is the Least Common Multiple of 71900 and 71918?

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 71900 and 71918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71900 and 71918, than apply into the LCM equation.

GCF(71900,71918) = 2
LCM(71900,71918) = ( 71900 × 71918) / 2
LCM(71900,71918) = 5170904200 / 2
LCM(71900,71918) = 2585452100

Least Common Multiple (LCM) of 71900 and 71918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71900 and 71918. First we will calculate the prime factors of 71900 and 71918.

Prime Factorization of 71900

Prime Factorization of 71918

Now multiplying the highest exponent prime factors to calculate the LCM of 71900 and 71918.

LCM(71900,71918) = 2² × 5² × 719¹ × 7¹ × 11¹ × 467¹
LCM(71900,71918) = 2585452100