GCF and LCM Calculator Logo

What is the Least Common Multiple of 66690 and 66702?

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 66690 and 66702 is 741392730.

LCM(66690,66702) = 741392730

LCM Calculator and
and

Least Common Multiple of 66690 and 66702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66690 and 66702, than apply into the LCM equation.

GCF(66690,66702) = 6
LCM(66690,66702) = ( 66690 × 66702) / 6
LCM(66690,66702) = 4448356380 / 6
LCM(66690,66702) = 741392730

Least Common Multiple (LCM) of 66690 and 66702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66690 and 66702. First we will calculate the prime factors of 66690 and 66702.

Prime Factorization of 66690

Prime factors of 66690 are 2, 3, 5, 13, 19. Prime factorization of 66690 in exponential form is:

66690 = 21 × 33 × 51 × 131 × 191

Prime Factorization of 66702

Prime factors of 66702 are 2, 3, 11117. Prime factorization of 66702 in exponential form is:

66702 = 21 × 31 × 111171

Now multiplying the highest exponent prime factors to calculate the LCM of 66690 and 66702.

LCM(66690,66702) = 21 × 33 × 51 × 131 × 191 × 111171
LCM(66690,66702) = 741392730