What is the Least Common Multiple of 97865 and 97880?

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 97865 and 97880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97865 and 97880, than apply into the LCM equation.

GCF(97865,97880) = 5
LCM(97865,97880) = ( 97865 × 97880) / 5
LCM(97865,97880) = 9579026200 / 5
LCM(97865,97880) = 1915805240

Least Common Multiple (LCM) of 97865 and 97880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97865 and 97880. First we will calculate the prime factors of 97865 and 97880.

Prime Factorization of 97865

Prime Factorization of 97880

Now multiplying the highest exponent prime factors to calculate the LCM of 97865 and 97880.

LCM(97865,97880) = 5¹ × 23² × 37¹ × 2³ × 2447¹
LCM(97865,97880) = 1915805240