What is the Least Common Multiple of 64964 and 64975?

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 64964 and 64975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64964 and 64975, than apply into the LCM equation.

GCF(64964,64975) = 1
LCM(64964,64975) = ( 64964 × 64975) / 1
LCM(64964,64975) = 4221035900 / 1
LCM(64964,64975) = 4221035900

Least Common Multiple (LCM) of 64964 and 64975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64964 and 64975. First we will calculate the prime factors of 64964 and 64975.

Prime Factorization of 64964

Prime Factorization of 64975

Now multiplying the highest exponent prime factors to calculate the LCM of 64964 and 64975.

LCM(64964,64975) = 2² × 109¹ × 149¹ × 5² × 23¹ × 113¹
LCM(64964,64975) = 4221035900