What is the Least Common Multiple of 30264 and 30274?

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 30264 and 30274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30264 and 30274, than apply into the LCM equation.

GCF(30264,30274) = 2
LCM(30264,30274) = ( 30264 × 30274) / 2
LCM(30264,30274) = 916212336 / 2
LCM(30264,30274) = 458106168

Least Common Multiple (LCM) of 30264 and 30274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30264 and 30274. First we will calculate the prime factors of 30264 and 30274.

Prime Factorization of 30264

Prime Factorization of 30274

Now multiplying the highest exponent prime factors to calculate the LCM of 30264 and 30274.

LCM(30264,30274) = 2³ × 3¹ × 13¹ × 97¹ × 15137¹
LCM(30264,30274) = 458106168