What is the Least Common Multiple of 61234 and 61239?

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 61239 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 61239, than apply into the LCM equation.

GCF(61234,61239) = 1
LCM(61234,61239) = ( 61234 × 61239) / 1
LCM(61234,61239) = 3749908926 / 1
LCM(61234,61239) = 3749908926

Least Common Multiple (LCM) of 61234 and 61239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61234 and 61239. First we will calculate the prime factors of 61234 and 61239.

Prime Factorization of 61234

Prime Factorization of 61239

Now multiplying the highest exponent prime factors to calculate the LCM of 61234 and 61239.

LCM(61234,61239) = 2¹ × 17¹ × 1801¹ × 3¹ × 137¹ × 149¹
LCM(61234,61239) = 3749908926