What is the Least Common Multiple of 71476 and 71492?

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 71476 and 71492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71476 and 71492, than apply into the LCM equation.

GCF(71476,71492) = 4
LCM(71476,71492) = ( 71476 × 71492) / 4
LCM(71476,71492) = 5109962192 / 4
LCM(71476,71492) = 1277490548

Least Common Multiple (LCM) of 71476 and 71492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71476 and 71492. First we will calculate the prime factors of 71476 and 71492.

Prime Factorization of 71476

Prime Factorization of 71492

Now multiplying the highest exponent prime factors to calculate the LCM of 71476 and 71492.

LCM(71476,71492) = 2² × 107¹ × 167¹ × 61¹ × 293¹
LCM(71476,71492) = 1277490548