What is the Least Common Multiple of 71474 and 71480?

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 71474 and 71480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71474 and 71480, than apply into the LCM equation.

GCF(71474,71480) = 2
LCM(71474,71480) = ( 71474 × 71480) / 2
LCM(71474,71480) = 5108961520 / 2
LCM(71474,71480) = 2554480760

Least Common Multiple (LCM) of 71474 and 71480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71474 and 71480. First we will calculate the prime factors of 71474 and 71480.

Prime Factorization of 71474

Prime Factorization of 71480

Now multiplying the highest exponent prime factors to calculate the LCM of 71474 and 71480.

LCM(71474,71480) = 2³ × 13¹ × 2749¹ × 5¹ × 1787¹
LCM(71474,71480) = 2554480760