What is the Least Common Multiple of 64958 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 64958 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 64958 and 64975, than apply into the LCM equation.

GCF(64958,64975) = 1
LCM(64958,64975) = ( 64958 × 64975) / 1
LCM(64958,64975) = 4220646050 / 1
LCM(64958,64975) = 4220646050

Least Common Multiple (LCM) of 64958 and 64975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64958 and 64975. First we will calculate the prime factors of 64958 and 64975.

Prime Factorization of 64958

Prime Factorization of 64975

Now multiplying the highest exponent prime factors to calculate the LCM of 64958 and 64975.

LCM(64958,64975) = 2¹ × 32479¹ × 5² × 23¹ × 113¹
LCM(64958,64975) = 4220646050