What is the Least Common Multiple of 33374 and 33380?

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 33374 and 33380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33374 and 33380, than apply into the LCM equation.

GCF(33374,33380) = 2
LCM(33374,33380) = ( 33374 × 33380) / 2
LCM(33374,33380) = 1114024120 / 2
LCM(33374,33380) = 557012060

Least Common Multiple (LCM) of 33374 and 33380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33374 and 33380. First we will calculate the prime factors of 33374 and 33380.

Prime Factorization of 33374

Prime Factorization of 33380

Now multiplying the highest exponent prime factors to calculate the LCM of 33374 and 33380.

LCM(33374,33380) = 2² × 11¹ × 37¹ × 41¹ × 5¹ × 1669¹
LCM(33374,33380) = 557012060