What is the Least Common Multiple of 1372 and 1376?

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 1372 and 1376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1372 and 1376, than apply into the LCM equation.

GCF(1372,1376) = 4
LCM(1372,1376) = ( 1372 × 1376) / 4
LCM(1372,1376) = 1887872 / 4
LCM(1372,1376) = 471968

Least Common Multiple (LCM) of 1372 and 1376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1372 and 1376. First we will calculate the prime factors of 1372 and 1376.

Prime Factorization of 1372

Prime Factorization of 1376

Now multiplying the highest exponent prime factors to calculate the LCM of 1372 and 1376.

LCM(1372,1376) = 2⁵ × 7³ × 43¹
LCM(1372,1376) = 471968