What is the Least Common Multiple of 30360 and 30374?

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 30360 and 30374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30360 and 30374, than apply into the LCM equation.

GCF(30360,30374) = 2
LCM(30360,30374) = ( 30360 × 30374) / 2
LCM(30360,30374) = 922154640 / 2
LCM(30360,30374) = 461077320

Least Common Multiple (LCM) of 30360 and 30374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30360 and 30374. First we will calculate the prime factors of 30360 and 30374.

Prime Factorization of 30360

Prime Factorization of 30374

Now multiplying the highest exponent prime factors to calculate the LCM of 30360 and 30374.

LCM(30360,30374) = 2³ × 3¹ × 5¹ × 11¹ × 23¹ × 15187¹
LCM(30360,30374) = 461077320