What is the Least Common Multiple of 30114 and 30121?

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 30114 and 30121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30114 and 30121, than apply into the LCM equation.

GCF(30114,30121) = 7
LCM(30114,30121) = ( 30114 × 30121) / 7
LCM(30114,30121) = 907063794 / 7
LCM(30114,30121) = 129580542

Least Common Multiple (LCM) of 30114 and 30121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30114 and 30121. First we will calculate the prime factors of 30114 and 30121.

Prime Factorization of 30114

Prime Factorization of 30121

Now multiplying the highest exponent prime factors to calculate the LCM of 30114 and 30121.

LCM(30114,30121) = 2¹ × 3² × 7¹ × 239¹ × 13¹ × 331¹
LCM(30114,30121) = 129580542