GCF and LCM Calculator Logo

What is the Least Common Multiple of 699 and 710?

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 699 and 710 is 496290.

LCM(699,710) = 496290

LCM Calculator and
and

Least Common Multiple of 699 and 710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 699 and 710, than apply into the LCM equation.

GCF(699,710) = 1
LCM(699,710) = ( 699 × 710) / 1
LCM(699,710) = 496290 / 1
LCM(699,710) = 496290

Least Common Multiple (LCM) of 699 and 710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 699 and 710. First we will calculate the prime factors of 699 and 710.

Prime Factorization of 699

Prime factors of 699 are 3, 233. Prime factorization of 699 in exponential form is:

699 = 31 × 2331

Prime Factorization of 710

Prime factors of 710 are 2, 5, 71. Prime factorization of 710 in exponential form is:

710 = 21 × 51 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 699 and 710.

LCM(699,710) = 31 × 2331 × 21 × 51 × 711
LCM(699,710) = 496290