What is the Least Common Multiple of 27368 and 27374?

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 27368 and 27374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27368 and 27374, than apply into the LCM equation.

GCF(27368,27374) = 2
LCM(27368,27374) = ( 27368 × 27374) / 2
LCM(27368,27374) = 749171632 / 2
LCM(27368,27374) = 374585816

Least Common Multiple (LCM) of 27368 and 27374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27368 and 27374. First we will calculate the prime factors of 27368 and 27374.

Prime Factorization of 27368

Prime Factorization of 27374

Now multiplying the highest exponent prime factors to calculate the LCM of 27368 and 27374.

LCM(27368,27374) = 2³ × 11¹ × 311¹ × 13687¹
LCM(27368,27374) = 374585816