What is the Least Common Multiple of 61240 and 61259?

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 61240 and 61259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61240 and 61259, than apply into the LCM equation.

GCF(61240,61259) = 1
LCM(61240,61259) = ( 61240 × 61259) / 1
LCM(61240,61259) = 3751501160 / 1
LCM(61240,61259) = 3751501160

Least Common Multiple (LCM) of 61240 and 61259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61240 and 61259. First we will calculate the prime factors of 61240 and 61259.

Prime Factorization of 61240

Prime Factorization of 61259

Now multiplying the highest exponent prime factors to calculate the LCM of 61240 and 61259.

LCM(61240,61259) = 2³ × 5¹ × 1531¹ × 11¹ × 5569¹
LCM(61240,61259) = 3751501160