What is the Least Common Multiple of 36610 and 36630?

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 36610 and 36630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36610 and 36630, than apply into the LCM equation.

GCF(36610,36630) = 10
LCM(36610,36630) = ( 36610 × 36630) / 10
LCM(36610,36630) = 1341024300 / 10
LCM(36610,36630) = 134102430

Least Common Multiple (LCM) of 36610 and 36630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36610 and 36630. First we will calculate the prime factors of 36610 and 36630.

Prime Factorization of 36610

Prime Factorization of 36630

Now multiplying the highest exponent prime factors to calculate the LCM of 36610 and 36630.

LCM(36610,36630) = 2¹ × 5¹ × 7¹ × 523¹ × 3² × 11¹ × 37¹
LCM(36610,36630) = 134102430