What is the Least Common Multiple of 1365 and 1374?

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 1365 and 1374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1365 and 1374, than apply into the LCM equation.

GCF(1365,1374) = 3
LCM(1365,1374) = ( 1365 × 1374) / 3
LCM(1365,1374) = 1875510 / 3
LCM(1365,1374) = 625170

Least Common Multiple (LCM) of 1365 and 1374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1365 and 1374. First we will calculate the prime factors of 1365 and 1374.

Prime Factorization of 1365

Prime Factorization of 1374

Now multiplying the highest exponent prime factors to calculate the LCM of 1365 and 1374.

LCM(1365,1374) = 3¹ × 5¹ × 7¹ × 13¹ × 2¹ × 229¹
LCM(1365,1374) = 625170