GCF and LCM Calculator Logo

What is the Least Common Multiple of 30368 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 (LCM) of 30368 and 30374 is 461198816.

LCM(30368,30374) = 461198816

LCM Calculator and
and

Least Common Multiple of 30368 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 30368 and 30374, than apply into the LCM equation.

GCF(30368,30374) = 2
LCM(30368,30374) = ( 30368 × 30374) / 2
LCM(30368,30374) = 922397632 / 2
LCM(30368,30374) = 461198816

Least Common Multiple (LCM) of 30368 and 30374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30368 and 30374. First we will calculate the prime factors of 30368 and 30374.

Prime Factorization of 30368

Prime factors of 30368 are 2, 13, 73. Prime factorization of 30368 in exponential form is:

30368 = 25 × 131 × 731

Prime Factorization of 30374

Prime factors of 30374 are 2, 15187. Prime factorization of 30374 in exponential form is:

30374 = 21 × 151871

Now multiplying the highest exponent prime factors to calculate the LCM of 30368 and 30374.

LCM(30368,30374) = 25 × 131 × 731 × 151871
LCM(30368,30374) = 461198816