GCF and LCM Calculator Logo

What is the Least Common Multiple of 64993 and 64998?

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 (LCM) of 64993 and 64998 is 4224415014.

LCM(64993,64998) = 4224415014

LCM Calculator and
and

Least Common Multiple of 64993 and 64998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64993 and 64998, than apply into the LCM equation.

GCF(64993,64998) = 1
LCM(64993,64998) = ( 64993 × 64998) / 1
LCM(64993,64998) = 4224415014 / 1
LCM(64993,64998) = 4224415014

Least Common Multiple (LCM) of 64993 and 64998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64993 and 64998. First we will calculate the prime factors of 64993 and 64998.

Prime Factorization of 64993

Prime factors of 64993 are 103, 631. Prime factorization of 64993 in exponential form is:

64993 = 1031 × 6311

Prime Factorization of 64998

Prime factors of 64998 are 2, 3, 23, 157. Prime factorization of 64998 in exponential form is:

64998 = 21 × 32 × 231 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 64993 and 64998.

LCM(64993,64998) = 1031 × 6311 × 21 × 32 × 231 × 1571
LCM(64993,64998) = 4224415014