What is the Least Common Multiple of 71440 and 71458?

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 71440 and 71458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71440 and 71458, than apply into the LCM equation.

GCF(71440,71458) = 2
LCM(71440,71458) = ( 71440 × 71458) / 2
LCM(71440,71458) = 5104959520 / 2
LCM(71440,71458) = 2552479760

Least Common Multiple (LCM) of 71440 and 71458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71440 and 71458. First we will calculate the prime factors of 71440 and 71458.

Prime Factorization of 71440

Prime Factorization of 71458

Now multiplying the highest exponent prime factors to calculate the LCM of 71440 and 71458.

LCM(71440,71458) = 2⁴ × 5¹ × 19¹ × 47¹ × 35729¹
LCM(71440,71458) = 2552479760