What is the Least Common Multiple of 71421 and 71440?

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 71421 and 71440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71421 and 71440, than apply into the LCM equation.

GCF(71421,71440) = 19
LCM(71421,71440) = ( 71421 × 71440) / 19
LCM(71421,71440) = 5102316240 / 19
LCM(71421,71440) = 268542960

Least Common Multiple (LCM) of 71421 and 71440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71421 and 71440. First we will calculate the prime factors of 71421 and 71440.

Prime Factorization of 71421

Prime Factorization of 71440

Now multiplying the highest exponent prime factors to calculate the LCM of 71421 and 71440.

LCM(71421,71440) = 3¹ × 7¹ × 19¹ × 179¹ × 2⁴ × 5¹ × 47¹
LCM(71421,71440) = 268542960