What is the Least Common Multiple of 71480 and 71486?

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 71486 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 71486, than apply into the LCM equation.

GCF(71480,71486) = 2
LCM(71480,71486) = ( 71480 × 71486) / 2
LCM(71480,71486) = 5109819280 / 2
LCM(71480,71486) = 2554909640

Least Common Multiple (LCM) of 71480 and 71486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71480 and 71486. First we will calculate the prime factors of 71480 and 71486.

Prime Factorization of 71480

Prime Factorization of 71486

Now multiplying the highest exponent prime factors to calculate the LCM of 71480 and 71486.

LCM(71480,71486) = 2³ × 5¹ × 1787¹ × 31¹ × 1153¹
LCM(71480,71486) = 2554909640