What is the Least Common Multiple of 37365 and 37374?

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 37365 and 37374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37365 and 37374, than apply into the LCM equation.

GCF(37365,37374) = 3
LCM(37365,37374) = ( 37365 × 37374) / 3
LCM(37365,37374) = 1396479510 / 3
LCM(37365,37374) = 465493170

Least Common Multiple (LCM) of 37365 and 37374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37365 and 37374. First we will calculate the prime factors of 37365 and 37374.

Prime Factorization of 37365

Prime Factorization of 37374

Now multiplying the highest exponent prime factors to calculate the LCM of 37365 and 37374.

LCM(37365,37374) = 3¹ × 5¹ × 47¹ × 53¹ × 2¹ × 6229¹
LCM(37365,37374) = 465493170