What is the Least Common Multiple of 30054 and 30074?

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 30054 and 30074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30054 and 30074, than apply into the LCM equation.

GCF(30054,30074) = 2
LCM(30054,30074) = ( 30054 × 30074) / 2
LCM(30054,30074) = 903843996 / 2
LCM(30054,30074) = 451921998

Least Common Multiple (LCM) of 30054 and 30074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30054 and 30074. First we will calculate the prime factors of 30054 and 30074.

Prime Factorization of 30054

Prime Factorization of 30074

Now multiplying the highest exponent prime factors to calculate the LCM of 30054 and 30074.

LCM(30054,30074) = 2¹ × 3¹ × 5009¹ × 11¹ × 1367¹
LCM(30054,30074) = 451921998