What is the Least Common Multiple of 64084 and 64097?

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 64084 and 64097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64084 and 64097, than apply into the LCM equation.

GCF(64084,64097) = 1
LCM(64084,64097) = ( 64084 × 64097) / 1
LCM(64084,64097) = 4107592148 / 1
LCM(64084,64097) = 4107592148

Least Common Multiple (LCM) of 64084 and 64097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64084 and 64097. First we will calculate the prime factors of 64084 and 64097.

Prime Factorization of 64084

Prime Factorization of 64097

Now multiplying the highest exponent prime factors to calculate the LCM of 64084 and 64097.

LCM(64084,64097) = 2² × 37¹ × 433¹ × 11¹ × 5827¹
LCM(64084,64097) = 4107592148