What is the Least Common Multiple of 37035 and 37040?

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 37035 and 37040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37035 and 37040, than apply into the LCM equation.

GCF(37035,37040) = 5
LCM(37035,37040) = ( 37035 × 37040) / 5
LCM(37035,37040) = 1371776400 / 5
LCM(37035,37040) = 274355280

Least Common Multiple (LCM) of 37035 and 37040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37035 and 37040. First we will calculate the prime factors of 37035 and 37040.

Prime Factorization of 37035

Prime Factorization of 37040

Now multiplying the highest exponent prime factors to calculate the LCM of 37035 and 37040.

LCM(37035,37040) = 3² × 5¹ × 823¹ × 2⁴ × 463¹
LCM(37035,37040) = 274355280