GCF and LCM Calculator Logo

What is the Least Common Multiple of 62117 and 62134?

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 62117 and 62134 is 3859577678.

LCM(62117,62134) = 3859577678

LCM Calculator and
and

Least Common Multiple of 62117 and 62134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62117 and 62134, than apply into the LCM equation.

GCF(62117,62134) = 1
LCM(62117,62134) = ( 62117 × 62134) / 1
LCM(62117,62134) = 3859577678 / 1
LCM(62117,62134) = 3859577678

Least Common Multiple (LCM) of 62117 and 62134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62117 and 62134. First we will calculate the prime factors of 62117 and 62134.

Prime Factorization of 62117

Prime factors of 62117 are 11, 5647. Prime factorization of 62117 in exponential form is:

62117 = 111 × 56471

Prime Factorization of 62134

Prime factors of 62134 are 2, 47, 661. Prime factorization of 62134 in exponential form is:

62134 = 21 × 471 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 62117 and 62134.

LCM(62117,62134) = 111 × 56471 × 21 × 471 × 6611
LCM(62117,62134) = 3859577678