What is the Least Common Multiple of 71880 and 71897?

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 71880 and 71897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71880 and 71897, than apply into the LCM equation.

GCF(71880,71897) = 1
LCM(71880,71897) = ( 71880 × 71897) / 1
LCM(71880,71897) = 5167956360 / 1
LCM(71880,71897) = 5167956360

Least Common Multiple (LCM) of 71880 and 71897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71880 and 71897. First we will calculate the prime factors of 71880 and 71897.

Prime Factorization of 71880

Prime Factorization of 71897

Now multiplying the highest exponent prime factors to calculate the LCM of 71880 and 71897.

LCM(71880,71897) = 2³ × 3¹ × 5¹ × 599¹ × 7¹ × 10271¹
LCM(71880,71897) = 5167956360