What is the Least Common Multiple of 35610 and 35622?

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 35622 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 35622, than apply into the LCM equation.

GCF(35610,35622) = 6
LCM(35610,35622) = ( 35610 × 35622) / 6
LCM(35610,35622) = 1268499420 / 6
LCM(35610,35622) = 211416570

Least Common Multiple (LCM) of 35610 and 35622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35610 and 35622. First we will calculate the prime factors of 35610 and 35622.

Prime Factorization of 35610

Prime Factorization of 35622

Now multiplying the highest exponent prime factors to calculate the LCM of 35610 and 35622.

LCM(35610,35622) = 2¹ × 3² × 5¹ × 1187¹ × 1979¹
LCM(35610,35622) = 211416570