What is the Least Common Multiple of 35610 and 35627?

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 35610 and 35627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35610 and 35627, than apply into the LCM equation.

GCF(35610,35627) = 1
LCM(35610,35627) = ( 35610 × 35627) / 1
LCM(35610,35627) = 1268677470 / 1
LCM(35610,35627) = 1268677470

Least Common Multiple (LCM) of 35610 and 35627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35610 and 35627. First we will calculate the prime factors of 35610 and 35627.

Prime Factorization of 35610

Prime Factorization of 35627

Now multiplying the highest exponent prime factors to calculate the LCM of 35610 and 35627.

LCM(35610,35627) = 2¹ × 3¹ × 5¹ × 1187¹ × 23¹ × 1549¹
LCM(35610,35627) = 1268677470