What is the Least Common Multiple of 61479 and 61497?

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 61479 and 61497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61479 and 61497, than apply into the LCM equation.

GCF(61479,61497) = 9
LCM(61479,61497) = ( 61479 × 61497) / 9
LCM(61479,61497) = 3780774063 / 9
LCM(61479,61497) = 420086007

Least Common Multiple (LCM) of 61479 and 61497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61479 and 61497. First we will calculate the prime factors of 61479 and 61497.

Prime Factorization of 61479

Prime Factorization of 61497

Now multiplying the highest exponent prime factors to calculate the LCM of 61479 and 61497.

LCM(61479,61497) = 3⁵ × 11¹ × 23¹ × 6833¹
LCM(61479,61497) = 420086007