GCF and LCM Calculator Logo

What is the Least Common Multiple of 65034 and 65042?

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 65034 and 65042 is 2114970714.

LCM(65034,65042) = 2114970714

LCM Calculator and
and

Least Common Multiple of 65034 and 65042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65034 and 65042, than apply into the LCM equation.

GCF(65034,65042) = 2
LCM(65034,65042) = ( 65034 × 65042) / 2
LCM(65034,65042) = 4229941428 / 2
LCM(65034,65042) = 2114970714

Least Common Multiple (LCM) of 65034 and 65042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65034 and 65042. First we will calculate the prime factors of 65034 and 65042.

Prime Factorization of 65034

Prime factors of 65034 are 2, 3, 3613. Prime factorization of 65034 in exponential form is:

65034 = 21 × 32 × 36131

Prime Factorization of 65042

Prime factors of 65042 are 2, 17, 1913. Prime factorization of 65042 in exponential form is:

65042 = 21 × 171 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 65034 and 65042.

LCM(65034,65042) = 21 × 32 × 36131 × 171 × 19131
LCM(65034,65042) = 2114970714