What is the Least Common Multiple of 62144 and 62149?

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 62144 and 62149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62144 and 62149, than apply into the LCM equation.

GCF(62144,62149) = 1
LCM(62144,62149) = ( 62144 × 62149) / 1
LCM(62144,62149) = 3862187456 / 1
LCM(62144,62149) = 3862187456

Least Common Multiple (LCM) of 62144 and 62149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62144 and 62149. First we will calculate the prime factors of 62144 and 62149.

Prime Factorization of 62144

Prime Factorization of 62149

Now multiplying the highest exponent prime factors to calculate the LCM of 62144 and 62149.

LCM(62144,62149) = 2⁶ × 971¹ × 19¹ × 3271¹
LCM(62144,62149) = 3862187456