What is the Least Common Multiple of 27690 and 27710?

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 of 27690 and 27710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27690 and 27710, than apply into the LCM equation.

GCF(27690,27710) = 10
LCM(27690,27710) = ( 27690 × 27710) / 10
LCM(27690,27710) = 767289900 / 10
LCM(27690,27710) = 76728990

Least Common Multiple (LCM) of 27690 and 27710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27690 and 27710. First we will calculate the prime factors of 27690 and 27710.

Prime Factorization of 27690

Prime Factorization of 27710

Now multiplying the highest exponent prime factors to calculate the LCM of 27690 and 27710.

LCM(27690,27710) = 2¹ × 3¹ × 5¹ × 13¹ × 71¹ × 17¹ × 163¹
LCM(27690,27710) = 76728990