GCF and LCM Calculator Logo

What is the Least Common Multiple of 68692 and 68699?

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 68692 and 68699 is 4719071708.

LCM(68692,68699) = 4719071708

LCM Calculator and
and

Least Common Multiple of 68692 and 68699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68692 and 68699, than apply into the LCM equation.

GCF(68692,68699) = 1
LCM(68692,68699) = ( 68692 × 68699) / 1
LCM(68692,68699) = 4719071708 / 1
LCM(68692,68699) = 4719071708

Least Common Multiple (LCM) of 68692 and 68699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68692 and 68699. First we will calculate the prime factors of 68692 and 68699.

Prime Factorization of 68692

Prime factors of 68692 are 2, 13, 1321. Prime factorization of 68692 in exponential form is:

68692 = 22 × 131 × 13211

Prime Factorization of 68699

Prime factors of 68699 are 68699. Prime factorization of 68699 in exponential form is:

68699 = 686991

Now multiplying the highest exponent prime factors to calculate the LCM of 68692 and 68699.

LCM(68692,68699) = 22 × 131 × 13211 × 686991
LCM(68692,68699) = 4719071708