What is the Least Common Multiple of 61480 and 61486?

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 61480 and 61486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61480 and 61486, than apply into the LCM equation.

GCF(61480,61486) = 2
LCM(61480,61486) = ( 61480 × 61486) / 2
LCM(61480,61486) = 3780159280 / 2
LCM(61480,61486) = 1890079640

Least Common Multiple (LCM) of 61480 and 61486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61480 and 61486. First we will calculate the prime factors of 61480 and 61486.

Prime Factorization of 61480

Prime Factorization of 61486

Now multiplying the highest exponent prime factors to calculate the LCM of 61480 and 61486.

LCM(61480,61486) = 2³ × 5¹ × 29¹ × 53¹ × 71¹ × 433¹
LCM(61480,61486) = 1890079640