What is the Least Common Multiple of 61258 and 61268?

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 61258 and 61268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61258 and 61268, than apply into the LCM equation.

GCF(61258,61268) = 2
LCM(61258,61268) = ( 61258 × 61268) / 2
LCM(61258,61268) = 3753155144 / 2
LCM(61258,61268) = 1876577572

Least Common Multiple (LCM) of 61258 and 61268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61258 and 61268. First we will calculate the prime factors of 61258 and 61268.

Prime Factorization of 61258

Prime Factorization of 61268

Now multiplying the highest exponent prime factors to calculate the LCM of 61258 and 61268.

LCM(61258,61268) = 2² × 109¹ × 281¹ × 17² × 53¹
LCM(61258,61268) = 1876577572