What is the Least Common Multiple of 36354 and 36374?

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 36354 and 36374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36354 and 36374, than apply into the LCM equation.

GCF(36354,36374) = 2
LCM(36354,36374) = ( 36354 × 36374) / 2
LCM(36354,36374) = 1322340396 / 2
LCM(36354,36374) = 661170198

Least Common Multiple (LCM) of 36354 and 36374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36354 and 36374. First we will calculate the prime factors of 36354 and 36374.

Prime Factorization of 36354

Prime Factorization of 36374

Now multiplying the highest exponent prime factors to calculate the LCM of 36354 and 36374.

LCM(36354,36374) = 2¹ × 3¹ × 73¹ × 83¹ × 13¹ × 1399¹
LCM(36354,36374) = 661170198