What is the Least Common Multiple of 36710 and 36728?

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 36710 and 36728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36710 and 36728, than apply into the LCM equation.

GCF(36710,36728) = 2
LCM(36710,36728) = ( 36710 × 36728) / 2
LCM(36710,36728) = 1348284880 / 2
LCM(36710,36728) = 674142440

Least Common Multiple (LCM) of 36710 and 36728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36710 and 36728. First we will calculate the prime factors of 36710 and 36728.

Prime Factorization of 36710

Prime Factorization of 36728

Now multiplying the highest exponent prime factors to calculate the LCM of 36710 and 36728.

LCM(36710,36728) = 2³ × 5¹ × 3671¹ × 4591¹
LCM(36710,36728) = 674142440