What is the Least Common Multiple of 71458 and 71476?

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 71458 and 71476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71458 and 71476, than apply into the LCM equation.

GCF(71458,71476) = 2
LCM(71458,71476) = ( 71458 × 71476) / 2
LCM(71458,71476) = 5107532008 / 2
LCM(71458,71476) = 2553766004

Least Common Multiple (LCM) of 71458 and 71476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71458 and 71476. First we will calculate the prime factors of 71458 and 71476.

Prime Factorization of 71458

Prime Factorization of 71476

Now multiplying the highest exponent prime factors to calculate the LCM of 71458 and 71476.

LCM(71458,71476) = 2² × 35729¹ × 107¹ × 167¹
LCM(71458,71476) = 2553766004