What is the Least Common Multiple of 71480 and 71497?

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 71480 and 71497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71480 and 71497, than apply into the LCM equation.

GCF(71480,71497) = 1
LCM(71480,71497) = ( 71480 × 71497) / 1
LCM(71480,71497) = 5110605560 / 1
LCM(71480,71497) = 5110605560

Least Common Multiple (LCM) of 71480 and 71497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71480 and 71497. First we will calculate the prime factors of 71480 and 71497.

Prime Factorization of 71480

Prime Factorization of 71497

Now multiplying the highest exponent prime factors to calculate the LCM of 71480 and 71497.

LCM(71480,71497) = 2³ × 5¹ × 1787¹ × 19¹ × 53¹ × 71¹
LCM(71480,71497) = 5110605560