What is the Least Common Multiple of 61234 and 61248?

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 61234 and 61248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61234 and 61248, than apply into the LCM equation.

GCF(61234,61248) = 2
LCM(61234,61248) = ( 61234 × 61248) / 2
LCM(61234,61248) = 3750460032 / 2
LCM(61234,61248) = 1875230016

Least Common Multiple (LCM) of 61234 and 61248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61234 and 61248. First we will calculate the prime factors of 61234 and 61248.

Prime Factorization of 61234

Prime Factorization of 61248

Now multiplying the highest exponent prime factors to calculate the LCM of 61234 and 61248.

LCM(61234,61248) = 2⁶ × 17¹ × 1801¹ × 3¹ × 11¹ × 29¹
LCM(61234,61248) = 1875230016