What is the Least Common Multiple of 61224 and 61234?

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 61224 and 61234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61224 and 61234, than apply into the LCM equation.

GCF(61224,61234) = 2
LCM(61224,61234) = ( 61224 × 61234) / 2
LCM(61224,61234) = 3748990416 / 2
LCM(61224,61234) = 1874495208

Least Common Multiple (LCM) of 61224 and 61234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61224 and 61234. First we will calculate the prime factors of 61224 and 61234.

Prime Factorization of 61224

Prime Factorization of 61234

Now multiplying the highest exponent prime factors to calculate the LCM of 61224 and 61234.

LCM(61224,61234) = 2³ × 3¹ × 2551¹ × 17¹ × 1801¹
LCM(61224,61234) = 1874495208