What is the Least Common Multiple of 33630 and 33643?

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 33630 and 33643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33630 and 33643, than apply into the LCM equation.

GCF(33630,33643) = 1
LCM(33630,33643) = ( 33630 × 33643) / 1
LCM(33630,33643) = 1131414090 / 1
LCM(33630,33643) = 1131414090

Least Common Multiple (LCM) of 33630 and 33643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33630 and 33643. First we will calculate the prime factors of 33630 and 33643.

Prime Factorization of 33630

Prime Factorization of 33643

Now multiplying the highest exponent prime factors to calculate the LCM of 33630 and 33643.

LCM(33630,33643) = 2¹ × 3¹ × 5¹ × 19¹ × 59¹ × 17¹ × 1979¹
LCM(33630,33643) = 1131414090