What is the Least Common Multiple of 64909 and 64927?

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 64909 and 64927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64909 and 64927, than apply into the LCM equation.

GCF(64909,64927) = 1
LCM(64909,64927) = ( 64909 × 64927) / 1
LCM(64909,64927) = 4214346643 / 1
LCM(64909,64927) = 4214346643

Least Common Multiple (LCM) of 64909 and 64927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64909 and 64927. First we will calculate the prime factors of 64909 and 64927.

Prime Factorization of 64909

Prime Factorization of 64927

Now multiplying the highest exponent prime factors to calculate the LCM of 64909 and 64927.

LCM(64909,64927) = 13¹ × 4993¹ × 64927¹
LCM(64909,64927) = 4214346643