What is the Least Common Multiple of 38368 and 38374?

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 38368 and 38374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38368 and 38374, than apply into the LCM equation.

GCF(38368,38374) = 2
LCM(38368,38374) = ( 38368 × 38374) / 2
LCM(38368,38374) = 1472333632 / 2
LCM(38368,38374) = 736166816

Least Common Multiple (LCM) of 38368 and 38374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38368 and 38374. First we will calculate the prime factors of 38368 and 38374.

Prime Factorization of 38368

Prime Factorization of 38374

Now multiplying the highest exponent prime factors to calculate the LCM of 38368 and 38374.

LCM(38368,38374) = 2⁵ × 11¹ × 109¹ × 7¹ × 2741¹
LCM(38368,38374) = 736166816