What is the Least Common Multiple of 2710 and 2730?

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 2710 and 2730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2710 and 2730, than apply into the LCM equation.

GCF(2710,2730) = 10
LCM(2710,2730) = ( 2710 × 2730) / 10
LCM(2710,2730) = 7398300 / 10
LCM(2710,2730) = 739830

Least Common Multiple (LCM) of 2710 and 2730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2710 and 2730. First we will calculate the prime factors of 2710 and 2730.

Prime Factorization of 2710

Prime Factorization of 2730

Now multiplying the highest exponent prime factors to calculate the LCM of 2710 and 2730.

LCM(2710,2730) = 2¹ × 5¹ × 271¹ × 3¹ × 7¹ × 13¹
LCM(2710,2730) = 739830