What is the Least Common Multiple of 35622 and 35630?

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 35622 and 35630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35622 and 35630, than apply into the LCM equation.

GCF(35622,35630) = 2
LCM(35622,35630) = ( 35622 × 35630) / 2
LCM(35622,35630) = 1269211860 / 2
LCM(35622,35630) = 634605930

Least Common Multiple (LCM) of 35622 and 35630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35622 and 35630. First we will calculate the prime factors of 35622 and 35630.

Prime Factorization of 35622

Prime Factorization of 35630

Now multiplying the highest exponent prime factors to calculate the LCM of 35622 and 35630.

LCM(35622,35630) = 2¹ × 3² × 1979¹ × 5¹ × 7¹ × 509¹
LCM(35622,35630) = 634605930