GCF and LCM Calculator Logo

What is the Least Common Multiple of 64929 and 64949?

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 64929 and 64949 is 4217073621.

LCM(64929,64949) = 4217073621

LCM Calculator and
and

Least Common Multiple of 64929 and 64949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64929 and 64949, than apply into the LCM equation.

GCF(64929,64949) = 1
LCM(64929,64949) = ( 64929 × 64949) / 1
LCM(64929,64949) = 4217073621 / 1
LCM(64929,64949) = 4217073621

Least Common Multiple (LCM) of 64929 and 64949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64929 and 64949. First we will calculate the prime factors of 64929 and 64949.

Prime Factorization of 64929

Prime factors of 64929 are 3, 23, 941. Prime factorization of 64929 in exponential form is:

64929 = 31 × 231 × 9411

Prime Factorization of 64949

Prime factors of 64949 are 107, 607. Prime factorization of 64949 in exponential form is:

64949 = 1071 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 64929 and 64949.

LCM(64929,64949) = 31 × 231 × 9411 × 1071 × 6071
LCM(64929,64949) = 4217073621